Luc Vinet

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Luc Vinet is affiliated with the following schools: McGill University, Université de Montréal

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PhD Physics Université de Montréal

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According to Wikipedia, Luc Vinet is a Canadian physicist and mathematician. He was former rector of the Université de Montréal between 2005 and 2010. He is the CEO of IVADO, created in 2015 since August 2021. Biography Born in Montreal, Quebec, Vinet holds a doctorate from the Université Pierre et Marie Curie and a PhD from the Université de Montréal, both in theoretical physics. After two years as Research Associate at MIT, he was appointed in the early 1980s as faculty member in the Physics Department at the Université de Montréal. He has held a number of visiting professorships at various universities. He is the author or co-author of ten books and more than three hundred scientific papers. His research areas include gauge field theories, supersymmetry, quantum algebra, integrable systems and combinatorics.

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Luc Vinet's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A ‘missing’ family of classical orthogonal polynomials (2010) (781)
Exact operator solution of the Calogero-Sutherland model (1995) (253)
Semi-classical dynamics of heavy-ion reactions (1987) (178)
Calogero-Moser- Sutherland Models (2000) (134)
Group actions on principal bundles and invariance conditions for gauge fields (1980) (133)
Superintegrable systems: Polynomial algebras and quasi-exactly solvable Hamiltonians (1995) (105)
Supersymmetry of the Pauli equation in the presence of a magnetic monopole (1984) (101)
Lie group formalism for difference equations (1997) (99)
Dunkl shift operators and Bannai-Ito polynomials (2011) (97)
q-Orthogonal polynomials and the oscillator quantum group (1991) (87)
More on the q-oscillator algebra and q-orthogonal polynomials (1995) (84)
Superintegrability in Two Dimensions and the Racah–Wilson Algebra (2013) (72)
Quantum Algebras and q-Special Functions (1993) (70)
How to construct spin chains with perfect state transfer (2011) (69)
On the defining relations of quantum superalgebras (1991) (68)
Difference schrödinger operators with linear and exponential discrete spectra (1993) (68)
Lie symmetries of finite‐difference equations (1995) (65)
The Dunkl oscillator in the plane: I. Superintegrability, separated wavefunctions and overlap coefficients (2012) (63)
The Bannai-Ito polynomials as Racah coefficients of the sl_{-1}(2) algebra (2012) (59)
Dynamical supersymmetry of the magnetic monopole and the 1/r2-potential (1985) (58)
q-analogues of the parabose and parafermi oscillators and representations of quantum algebras (1990) (57)
Families of superintegrable Hamiltonians constructed from exceptional polynomials (2012) (52)
The Bannai–Ito algebra and a superintegrable system with reflections on the two-sphere (2014) (49)
A higher rank Racah algebra and the Z2n Laplace–Dunkl operator (2016) (49)
Algebraic Methods and 𝑞-Special Functions (1999) (49)
A characterization of classical and semiclassical orthogonal polynomials from their dual polynomials (2004) (49)
The Dunkl Oscillator in the Plane II: Representations of the Symmetry Algebra (2013) (49)
A Laplace-Dunkl Equation on S2 and the Bannai–Ito Algebra (2013) (49)
A limit $q=-1$ for the big q-Jacobi polynomials (2010) (49)
SPECTRAL TRANSFORMATIONS, SELF-SIMILAR REDUCTIONS AND ORTHOGONAL POLYNOMIALS (1997) (48)
A Dirac–Dunkl Equation on S2 and the Bannai–Ito Algebra (2013) (47)
The Racah algebra and superintegrable models (2013) (47)
The equitable Racah algebra from three su(1,1)?> algebras (2013) (47)
The Quantum Dynamics of the Compactified Trigonometric Ruijsenaars–Schneider Model (1997) (45)
q-Oscillator realizations of the quantum superalgebras slq(m, n)andospq(m, 2n) (1991) (45)
Spectrum (super-) symmetries of particles in a Coulomb potential☆ (1985) (45)
Symmetries of theq-difference heat equation (1994) (43)
On the quantum group and quantum algebra approach toq-special functions (1993) (43)
The Yang-Mills system in compactified Minkowski space; Invariance conditions and SU(2) invariant solutions (1979) (42)
Bosonic realization of the quantum superalgebra ospq(1, 2n) (1990) (42)
Automorphisms of the q-oscillator algebra and basic orthogonal polynomials (1993) (41)
Quantum spin chains with fractional revival (2015) (41)
Rodrigues Formulas for the Macdonald Polynomials (1996) (40)
Quantum symmetries of q‐difference equations (1995) (40)
Algebraic Heun Operator and Band-Time Limiting (2017) (40)
The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states (2013) (40)
FROM slq(2) TO A PARABOSONIC HOPF ALGEBRA (2011) (39)
The Z(2)(n) Dirac-Dunkl operator and a higher rank Bannai-Ito algebra (2016) (37)
Almost perfect state transfer in quantum spin chains (2012) (37)
Addition formulas for q‐Bessel functions (1992) (37)
Dual -1 Hahn polynomials: "classical" polynomials beyond the Leonard duality (2011) (36)
Supersymmetric quantum mechanics with reflections (2011) (36)
A study of the disintegration of highly excited nuclei with the Vlasov-Uehling-Uhlenbeck equation (1987) (36)
The Bannai-Ito algebra and some applications (2014) (35)
Symmetries of the heat equation on the lattice (1996) (35)
Parasupersymmetry and truncated supersymmetry in quantum mechanics (1991) (35)
Bispectrality of the Complementary Bannai-Ito Polynomials (2012) (35)
Tridiagonalization and the Heun equation (2016) (34)
The Dunkl oscillator in three dimensions (2013) (34)
FREE-FIELD REPRESENTATION OF GROUP ELEMENT FOR SIMPLE QUANTUM GROUPS (1994) (33)
Advances in mathematical sciences : CRM's 25 years (1997) (33)
The singular and the 2:1 anisotropic Dunkl oscillators in the plane (2013) (32)
A model for the continuous q‐ultraspherical polynomials (1995) (32)
Dynamics and clusterization in nuclear collisions (1988) (31)
A note on (p, q)-oscillators and bibasic hypergeometric functions (1993) (31)
Automorphisms of the Heisenberg–Weyl algebra and d-orthogonal polynomials (2009) (30)
The Dunkl-Coulomb problem in the plane (2014) (29)
Quantum Mechanics and Polynomials of a Discrete Variable (1993) (28)
Quantum fractional revival on graphs (2018) (28)
Dynamical parasuperalgebras of parasupersymmetric harmonic oscillator, cyclotron motion and Morse Hamiltonians (1990) (28)
Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state transfer (2011) (28)
Representations of the Schrödinger group and matrix orthogonal polynomials (2011) (28)
A Bochner theorem for Dunkl polynomials. (2010) (27)
The polynomial SU(2) symmetry algebra of the two-body Calogero model (1996) (27)
Tridiagonalization of the hypergeometric operator and the Racah-Wilson algebra (2015) (27)
q-HYPERGEOMETRIC FUNCTIONS IN THE FORMALISM OF FREE FIELDS (1993) (26)
Mirror symmetry for hyper-Kähler manifolds (1998) (26)
Analytic next-to-nearest-neighbor X X models with perfect state transfer and fractional revival (2016) (26)
On ac-number quantum τ-function (1993) (26)
The generalized Racah algebra as a commutant (2018) (25)
Free-Fermion entanglement and orthogonal polynomials (2019) (25)
Generalized Bochner theorem: Characterization of the Askey-Wilson polynomials (2007) (25)
The non-symmetric Wilson polynomials are the Bannai-Ito polynomials (2015) (25)
The Heun–Askey–Wilson Algebra and the Heun Operator of Askey–Wilson Type (2018) (24)
q -Gamma and q -beta functions in quantum algebra representation theory (1996) (24)
An Integrable Chain and Bi-Orthogonal Polynomials (1998) (24)
Discrete analogues of the generalized coupled integrable dispersionless equations (2013) (23)
A Rodrigues formula for the Jack polynomials and the Macdonald-Stanley conjecture (1995) (22)
A SHORT PROOF OF THE INTEGRALITY OF THE MACDONALD (Q, T)-KOSTKA COEFFICIENTS (1996) (21)
The algebra of dual −1 Hahn polynomials and the Clebsch-Gordan problem of sl−1(2) (2012) (21)
The Heun operator of Hahn-type (2018) (21)
Conformal parasupersymmetry in quantum mechanics (1989) (21)
Temperley–Lieb, Brauer and Racah algebras and other centralizers of 𝔰𝔲(2) (2019) (20)
Symmetries and degeneracies of a charged oscillator in the field of a magnetic monopole (1991) (20)
Quantum State Transfer in a Two-dimensional Regular Spin Lattice of Triangular Shape (2012) (20)
Using quantum algebras in q-special function theory (1992) (20)
Higher order parasupersymmetric quantum mechanics (1991) (20)
On the Discretization of the Coupled Integrable Dispersionless Equations (2013) (19)
Creation Operators for the Macdonald and Jack Polynomials (1996) (19)
Conformal parasuperalgebras and their realizations on the line (1989) (18)
Matter-coupled Yang-Mills system in Minkowski space. II. Invariant solutions in the presence of Dirac spinor fields (1981) (18)
Centralizers of the superalgebra osp(1|2): the Brauer algebra as a quotient of the Bannai–Ito algebra (2019) (18)
Interbasis expansions for the isotropic 3D harmonic oscillator and bivariate Krawtchouk polynomials (2013) (18)
d-Orthogonal polynomials and su(2) (2011) (17)
q-Oscillator realizations of the quantum superalgebrasslq(m, n) andospq(m, 2n) (1991) (17)
Solution of the Vlasov equation for compressed and heated spherical nuclei (1986) (17)
Revisiting the Askey–Wilson algebra with the universal R-matrix of Uq(sl2) (2019) (17)
Symmetry techniques for the Al-Salam - Chihara polynomials (1997) (17)
Dual -1 Hahn polynomials and perfect state transfer (2011) (17)
Embeddings of the Racah algebra into the Bannai-Ito algebra (2015) (17)
A graph with fractional revival (2017) (16)
The fusion process in Landau-Vlasov dynamics (1986) (16)
Hidden symmetries and accidental degeneracy for a spin-1/2 particle in the field of a dyon (1986) (16)
The metaplectic representation of suq(1,1) and the q‐Gegenbauer polynomials (1992) (16)
The Askey–Wilson algebra and its avatars (2020) (16)
Superspace formulation of the dynamical symmetries of the Dirac magnetic monopole (1984) (16)
q‐oscillator realizations of the metaplectic representation of quantum osp(3,2) (1991) (16)
On the U(2) invariant solutions to Yang-Mills equations in compactified Minkowski space (1978) (16)
The multivariate Meixner polynomials as matrix elements of SO(d, 1) representations on oscillator states (2013) (16)
The Racah algebra: An overview and recent results (2020) (15)
The multivariate Charlier polynomials as matrix elements of the Euclidean group representation on oscillator states (2014) (15)
Dynamical parasuperalgebras and harmonic oscillators (1990) (15)
Peripheral reactions at intermediate energies in Landau-Vlasov dynamics (1987) (15)
A superintegrable model with reflections on Sn−1 and the higher rank Bannai–Ito algebra (2016) (15)
A Calabi-Yau algebra with $E_6$ symmetry and the Clebsch-Gordan series of $sl(3)$ (2020) (15)
An algebraic interpretation of the continuous big q‐Hermite polynomials (1995) (15)
The q-Heun operator of big q-Jacobi type and the q-Heun algebra (2018) (15)
Two-dimensional Krall-Sheffer polynomials and integrable systems (2001) (15)
Complex-fragment emission in 12.6 MeV/nucleon 63Cu-induced reactions on 12C and 27AI targets (1989) (14)
Dynamic invariants and the berry phase for generalized driven harmonic oscillators (2011) (14)
Classical solutions to topologically massive Yang-Mills theory☆ (1985) (14)
The $\mathbb{Z}_2^n$ Dirac-Dunkl operator and a higher rank Bannai-Ito algebra (2015) (14)
Classical Orthogonal Polynomials and Bannai-Ito Polynomials (2012) (14)
Entanglement in Fermionic Chains and Bispectrality (2020) (14)
JORDAN ALGEBRAS AND ORTHOGONAL POLYNOMIALS (2011) (14)
A quantum algebra approach to basic multivariable special functions (1994) (14)
A superintegrable finite oscillator in two dimensions with SU(2) symmetry (2012) (14)
An analytic discriminant for polarized algebraic 3 surfaces (1998) (13)
A \Continuous" Limit of the Complementary Bannai{Ito Polynomials: Chihara Polynomials (2013) (13)
The Racah algebra as a commutant and Howe duality (2018) (13)
An infinite family of superintegrable Hamiltonians with reflection in the plane (2011) (13)
Heun algebras of Lie type (2019) (13)
An algebraic model for the multiple Meixner polynomials of the first kind (2012) (13)
Exact Fractional Revival in Spin Chains (2015) (13)
Theoretical Physics at the End of the Twentieth Century : Lecture Notes of the CRM Summer School, Banff, Alberta (2002) (13)
Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials (2016) (13)
Compactified moduli spaces of pseudo-holomorphic curves (1998) (13)
q-conformal quantum mechanics and q-special functions (1992) (12)
Quasi-Linear Algebras and Integrability (the Heisenberg Picture) ? (2008) (12)
Bispectrality and Darboux transformations in the theory of orthogonal polynomials (1998) (12)
Semi-classical approaches to the phase space evolutions in intermediate energy heavy ion collisions (1986) (12)
An analytic spin chain model with fractional revival (2015) (12)
Generalized q-Bessel functions (1994) (12)
CMV Matrices and Little and Big −1 Jacobi Polynomials (2011) (12)
The Hahn superalgebra and supersymmetric Dunkl oscillator models (2013) (12)
Bannai–Ito algebras and the osp(1;2) superalgebra (2016) (12)
Representation of Quantum Algebras and q-Special Functions (1991) (12)
Generalized little $q$-Jacobi polynomials as eigensolutions of higher-order $q$-difference operators (2001) (12)
Dynamical Invariants and Berry's Phase for Generalized Driven Harmonic Oscillators (2011) (11)
SzegÖ polynomials on the real axis (1999) (11)
The Higgs and Hahn algebras from a Howe duality perspective (2018) (11)
The para-Racah polynomials (2015) (11)
Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials (2011) (11)
𝔬𝔰𝔭(1,2) and generalized Bannai–Ito algebras (2017) (10)
Periodic reduction of the factorization chain and the Hahn polynomials (1994) (10)
Little and big q-Jacobi polynomials and the Askey–Wilson algebra (2018) (10)
Spectral Transformations of the Laurent Biorthogonal Polynomials, II. Pastro Polynomials (2001) (10)
The multivariate Hahn polynomials and the singular oscillator (2014) (10)
Heun operator of Lie type and the modified algebraic Bethe ansatz (2020) (10)
The Generic Superintegrable System on the 3-Sphere and the 9j Symbols of su(1,1) (2014) (10)
Tridiagonal representations of the q-oscillator algebra and Askey–Wilson polynomials (2016) (9)
Quantum algebra approach to q -Gegenbauer polynomials (1995) (9)
An algebraic interpretation of the multivariate q-Krawtchouk polynomials (2015) (9)
The Quantum Superalgebra osp q ( 1 | 2 ) and a q -Generalization of the Bannai–Ito Polynomials (2016) (9)
The dual pair Pin(2n)×osp(1|2), the Dirac equation and the Bannai–Ito algebra (2018) (9)
Fractional revival and association schemes (2019) (9)
A method to study the Krall and q -Krall polynomials (2001) (8)
A unified algebraic underpinning for the Hahn polynomials and rational functions (2020) (8)
Where has all the fusion gone (1989) (8)
Coupling coefficients of su q (1,1) and multivariate q-Racah polynomials (2017) (8)
The Heun–Racah and Heun–Bannai–Ito algebras (2020) (8)
Field theory, integrable systems and symmetries (1997) (8)
Truncation of the reflection algebra and the Hahn algebra (2019) (8)
Two-Dimensional Krall–Sheffer Polynomials andQuantum Systems on Spaces with Constant Curvature (2003) (8)
The rational Heun operator and Wilson biorthogonal functions (2019) (8)
Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases (2016) (8)
A q -generalization of the para-Racah polynomials (2017) (8)
Degenerate Sklyanin algebras, Askey–Wilson polynomials and Heun operators (2020) (8)
The q-Onsager algebra and multivariable q-special functions (2016) (8)
Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results (2017) (8)
On an integrable system related to the relativistic Toda lattice – Bäcklund transformation and integrable discretization (2015) (7)
Bannai-Ito polynomials and dressing chains (2012) (7)
Birth and death processes and quantum spin chains (2012) (7)
Entanglement of free Fermions on Hadamard graphs (2020) (7)
The q-Higgs and Askey–Wilson algebras (2019) (7)
SPECTRUM - GENERATING SUPERALGEBRAS (1988) (7)
Mirror Symmetry III (1998) (7)
Supersymmetry in the non-commutative plane (2004) (7)
On the Relation Between Uq(sl(2)) Vertex Operators and q-Zonal Functions (1997) (7)
A SUPERINTEGRABLE MODEL WITH REFLECTIONS ON S^3 AND THE RANK TWO BANNAI-ITO ALGEBRA (2016) (7)
A q-deformed e(4) and continuous q-Jacobi polynomials (1996) (7)
On a c-number quantum {tau}-function (1995) (7)
The dual pair (Uq(su(1,1)),oq1/2(2n)), q-oscillators, and Askey-Wilson algebras (2020) (7)
Elliptic solutions of the restricted Toda chain, Lamé polynomials and generalization of the elliptic Stieltjes polynomials (2009) (7)
Quadratic Algebras in Quantum Mechanics (1994) (7)
Bargmann and Barut-Girardello models for the Racah algebra (2018) (7)
Disintegration of nuclei amd formation of composite systems in intermediate energy heavy ion reactions (1987) (6)
Bannai–Ito algebras and the universal R-matrix of $$\pmb {\mathfrak {osp}}(1|2)$$ (2019) (6)
An embedding of the Bannai–Ito algebra in $$\mathscr {U}(\mathfrak {osp}(1,2))$$U(osp(1,2)) and $$-1$$-1 polynomials (2017) (6)
The Equitable Presentation of $${\mathfrak{osp}_q(1|2)}$$ospq(1|2) and a q-Analog of the Bannai–Ito Algebra (2015) (6)
Connecting the web: A prognosis (1998) (6)
Racah Problems for the Oscillator Algebra, the Lie Algebra $$\mathfrak {sl}_n$$, and Multivariate Krawtchouk Polynomials (2019) (6)
The Quantum Superalgebra $${\mathfrak{osp}_{q}(1|2)}$$ospq(1|2) and a q-Generalization of the Bannai–Ito Polynomials (2015) (6)
Spectral analysis of q-oscillator with general bilinear interaction (1998) (6)
An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type (2020) (6)
Linear operator pencils on Lie algebras and Laurent biorthogonal polynomials (2004) (6)
Entanglement of free fermions on Hamming graphs (2021) (6)
Sklyanin-like algebras for (q-)linear grids and (q-)para-Krawtchouk polynomials (2020) (6)
q-difference realizations of quantum algebras (1993) (5)
d-Orthogonal Charlier Polynomials and the Weyl Algebra (2011) (5)
Racah Problems for the Oscillator Algebra, the Lie Algebra sl n , and Multivariate Krawtchouk Polynomials (2020) (5)
New realizations of algebras of the Askey–Wilson type in terms of Lie and quantum algebras (2020) (5)
Bivariate Bannai-Ito polynomials (2018) (5)
Temperley–Lieb, Birman–Murakami–Wenzl and Askey–Wilson Algebras and Other Centralizers of $$U_q(\mathfrak {sl}_2)$$ (2020) (5)
The dynamical algebra of the three-body Calogero model (1998) (5)
Algebraic description of SN-invariant oscillator states (1998) (5)
Entanglement of inhomogeneous free fermions on hyperplane lattices (2022) (5)
$$q$$q-Rotations and Krawtchouk polynomials (2014) (5)
Generating functions for the osp ( 1 ∣ 2 ) ?> Clebsch–Gordan coefficients (2015) (5)
An algebraic treatment of the Askey biorthogonal polynomials on the unit circle (2021) (5)
Hidden symmetries of two-dimensional systems with local degeneracies (1992) (5)
q-Hypergeometric functions, quantum algebras and free fields (1994) (5)
Supersymmetry of the quantum rotor (2016) (5)
An integrable system connected with the Uvarov-Chihara problem for orthogonal polynomials (1998) (5)
Racah Algebras, the Centralizer Z n ( sl 2 ) and Its Hilbert–Poincar´e Series (2022) (5)
Dual -1 Hahn polynomials: (2011) (5)
Perfect state transfer in a spin chain without mirror symmetry (2019) (5)
Signal Processing, Orthogonal Polynomials, and Heun Equations (2018) (4)
The rational Sklyanin algebra and the Wilson and para-Racah polynomials (2021) (4)
Double Affine Hecke Algebra of Rank 1 and Orthogonal Polynomials on the Unit Circle (2017) (4)
The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras (2019) (4)
Effective hamiltonian and berry potentials for the dipole-quadrupole problem in spherical nuclei☆ (1990) (4)
Dunkl-supersymmetric orthogonal functions associated with classical orthogonal polynomials (2019) (4)
Quantum walks on graphs of the ordered Hamming scheme and spin networks (2017) (4)
SPECTRUM GENERATING ALGEBRAS FOR THE SUPERSYMMETRIC MORSE AND POSCHL-TELLER HAMILTONIANS (1987) (4)
A quantum analog of the Z algebra (1995) (4)
Spin lattices, state transfer, and bivariate Krawtchouk polynomials1 (2014) (4)
On a Bosonic-Parafermionic Realization of Uq(sl(2)) (1996) (4)
Entanglement of Free Fermions on Johnson Graphs (2021) (4)
A super-integrable discretization of the Calogero model (2004) (4)
A QUANTUM ANALOG OF THE BOSON–FERMION CORRESPONDENCE (1994) (4)
Bannai–Ito algebras and the universal R-matrix of osp(1|2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\pmb {\mathf (2019) (3)
A superintegrable discrete oscillator and two-variable Meixner polynomials (2015) (3)
q -Rotations and Krawtchouk polynomials (2015) (3)
Racah Algebras, the Centralizer $$Z_n({{{\mathfrak {s}}}{{\mathfrak {l}}}}_2)$$ and Its Hilbert–Poincaré Series (2021) (3)
Perfect state transfer on weighted graphs of the Johnson scheme (2019) (3)
Quantum Groups, Integrable Models and Statistical Systems: Proceedings of the 1992 CAP/NSERC Summer Institute (1993) (3)
A Laplace-Dunkl Equation on S2 and the Bannai–Ito Algebra (2015) (3)
On a bosonic-parafermionic realization of $$U_q (\widehat{sl(2)})$$ (1994) (3)
Discrete Schrödinger equation, Darboux transformations, and orthogonal polynomials (1996) (3)
Symmetries and Conditional Symmetries of a Non-relativistic Chern-Simons System (1994) (3)
A Dirac–Dunkl Equation on S[superscript 2] and the Bannai–Ito Algebra (2016) (3)
A Dirac–Dunkl Equation on S2 and the Bannai–Ito Algebra (2016) (3)
A FINITE MODEL OF THE OSCILLATOR IN TWO-DIMENSIONS WITH SU(2) SYMMETRY (2013) (3)
Aspects of quantum geometry (1998) (3)
Howe Duality and Algebras of the Askey–Wilson Type: An Overview (2019) (3)
A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials (2015) (3)
SUq(3) corepresentations and bivariate q-Krawtchouk polynomials (2018) (2)
ON THE RACAH COEFFICIENTS OF sl−1(2) AND BANNAI–ITO POLYNOMIALS (2013) (2)
An algebraic interpretation of the q-Meixner polynomials (2016) (2)
Multipartite information of free fermions on Hamming graphs (2022) (2)
Superinvariant chiral and vector fields (1987) (2)
An Explanation of the Commuting Operator “Miracle” in Time and Band Limiting (2022) (2)
Supersymmetries of the dyon (1987) (2)
The Equitable Presentation of osp q ( 1 | 2 ) and a q -Analog of the Bannai–Ito Algebra (2015) (2)
Universities and Knowledge Diplomacy (2010) (2)
Bethe ansatz diagonalization of the Heun–Racah operator (2022) (2)
Superintegrability and the dual −1 Hahn algebra in superconformal quantum mechanics (2020) (2)
The single-indexed exceptional Krawtchouk polynomials (2022) (2)
Generalized squeezed–coherent states of the finite one-dimensional oscillator and matrix multi-orthogonality (2012) (2)
Quantum State Transfer in Graphs with Tails (2022) (2)
Symmetries and continuous -orthogonal polynomials (1999) (2)
Braid group and 𝑞-Racah polynomials (2021) (2)
Symmetries of massless Dirac equations and supersymmetric quantum mechanics (1989) (2)
Spin Chains, Graphs and State Revival (2018) (2)
Tests of isospin invariance in neutron-proton scattering (1981) (2)
Bispectrality and biorthogonality of the rational functions of q-Hahn type (2022) (2)
Xviith International Colloquium on Group Theoretical Methods in Physics: June 27 to July 2, 1988, Sainte-Adele, Canada (1989) (1)
An algebraic interpretation of the multivariate q-Krawtchouk polynomials (2016) (1)
Particles and fields (1999) (1)
Exact state revival in a spin chain with next-to-nearest neighbour interactions (2016) (1)
Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials (2022) (1)
A Quantum Analogue of the Z Algebra (1995) (1)
A Quantum Algebraic Interpretation of the Basic Hypergeometric Series r Φ s (1993) (1)
Some invariant solutions to the Yang-Mills equations in the presence of scalar fields in Minkowski space (1980) (1)
LOW AND INTERMEDIATE ENERGY HEAVY ION COLLISIONS IN THE SEMI-CLASSICAL MICROSCOPIC DESCRIPTION (1987) (1)
$R_I$ biorthogonal polynomials of Hahn type (2022) (1)
Two-variable -1 Jacobi polynomials (2014) (1)
Analytic “Newton’s cradles” with perfect transfer and fractional revival (2021) (1)
Continuous $-1$ Hypergeometric Orthogonal Polynomials (2022) (1)
On the relation between $U_q(\widehat{sl(2)})$ vertex operators and $q$-zonal functions (1996) (1)
$q$-Rotations and Krawtchouk polynomials I: The one-variable case (2014) (1)
Revisiting the Askey–Wilson algebra with the universal R-matrix of $\boldsymbol{ \newcommand{\su}{\mathfrak{sl}} U_q(\su_2)}$ (2020) (1)
Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction (2007) (1)
Basic Bessel functions and -difference equations (1996) (1)
PHASE SPACE DYNAMICS OF HEAVY ION NUCLEAR COLLISIONS IN THE FERMI ENERGY DOMAIN (1986) (1)
Bispectrality of the Complementary Bannai – (2013) (1)
Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials (2020) (1)
Symmetric abstract hypergeometric polynomials (2017) (1)
Algebraic Methods in Physics : A Symposium for the 60th Birthdays of Jiří Patera and Pavel Winternitz (2001) (1)
Creation Operators for the Calogero—Sutherland Model and Its Relativistic Version (2000) (1)
The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials (2016) (1)
Braid group action on theq-Weyl algebra (1991) (1)
Free boson realization of the Dunkl intertwining operator in one dimension (2022) (1)
Self-similarity and orthogonal polynomials (1998) (1)
Strong coupling singularities and non-abelian gauge symmetries in =2 string theory (1998) (1)
Time and band limiting operator and Bethe ansatz (2022) (1)
Conformal invariance and symmetry breaking for the one-dimensional wave equation (1980) (1)
Quantum groups, integrable models and statistical systems : 1992 CAP/NSERC Summer Institute in Theoretical Physics, Kingston, Ontario, Canada, 13-18 July 1992 (1993) (1)
The SU(3) ⊃ SO(3) missing label problem and the analytical Bethe Ansatz (2021) (1)
A classical model for perfect transfer and fractional revival based on q-Racah polynomials (2021) (1)
The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and Uq(sl2) (2021) (1)
The Racah algebra and $\mathfrak{sl}_n$ (2019) (1)
Relations among fixed point (1998) (1)
Laudatio of Vasily Pestun (2017) (0)
Proceedings of the Conference on Complex Geometry and Mirror Symmetry, Montréal, 1995 (1999) (0)
A note on $\mathfrak{su}(2)$ models and the biorthogonality of generating functions of Krawtchouk polynomials (2021) (0)
The Missing Label of $$\mathfrak {su}_3$$ and Its Symmetry (2021) (0)
Invariance conditions for gauge fields (1980) (0)
WHERE HAS ALLTHE FUSION GONE . . . (1988) (0)
Remarks on (0,2) Calabi-Yau models (1998) (0)
Dunkl-Supersymmetric Orthogonal Polynomials (2019) (0)
Supermultiplet of particles in a Coulomb potential: States and wave functions from the representation theory of OSp(2,1) (1988) (0)
The Poncelet problem and the discrete-time pendulum (2009) (0)
An algebraic treatment of the Pastro polynomials on the real line (2022) (0)
Algebraic Methods in Physics (2001) (0)
Algebraic Heun Operator and Band-Time Limiting (2018) (0)
Explicit solutions for the scalar coupled Yang-Mills system in Minkowski space (1980) (0)
Additional Constants of Motion for Suris' Discrete Calogero--Moser Model (2007) (0)
Little and big q-Jacobi polynomials and the Askey–Wilson algebra (2019) (0)
The Missing Label of su 3 and Its Symmetry (2023) (0)
Solvability in classical mechanics and algebraic Heun observables (2021) (0)
Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz (2022) (0)
DYNAMICS AND CLUSTERIZATIONIN NUCLEAR COLLISIONS (1987) (0)
Para-Bannai-Ito polynomials (2022) (0)
Additional Constants of Motion for a Discretization of the Calogero–Moser Model (2007) (0)
Orthogonal polynomials and the deformed Jordan plane (2021) (0)
Complex scalar fields in SO(2,1)-Invariant backgrounds: Representation of the symmetries in the schrödinger picture (1988) (0)
Invariant physical fields with gauge freedom (1982) (0)
The Dunkl Oscillator in the Plane II: Representations of the Symmetry Algebra (2014) (0)
A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials (2017) (0)
Askey–Wilson Braid Algebra and Centralizer of $$U_q(\mathfrak {sl}_2)$$ (2022) (0)
CMV Matrices and Little and Big −1 Jacobi Polynomials (2012) (0)
Bivariate $P$-polynomial association schemes (2022) (0)
The Racah Algebra and "Equation missing" (2020) (0)
-1 Krall-Jacobi Polynomials (2012) (0)
An update on (small) quantum cohomology (1998) (0)
Superintegrability in Two Dimensions and the Racah–Wilson Algebra (2014) (0)
An algebraic interpretation of the q-Meixner polynomials (2017) (0)
2 5 O ct 2 01 9 The Racah algebra and sl n (2019) (0)
Introduction to enumerative invariants (1998) (0)
SOLUTIONS OF THE LANDAU-VLASOV EQUATION IN NUCLEAR PHYSICS (1987) (0)
Ju n 20 04 Supersymmetry in the Non-Commutative Plane (2004) (0)
The Legacy of Dick Askey (1933–2019) (2022) (0)
A Howe correspondence for the algebra of the osp(1|2) Clebsch-Gordan coefficients (2020) (0)
A Familiy of Krall Polynomials (2001) (0)
Chern–Simons theory, link invariants and the Askey–Wilson algebra (2022) (0)
Generating function for the Bannai-Ito polynomials (2016) (0)
Two entangled and scientifically impactful lives: Ji\v{r}\'i Patera, Pavel Winternitz and the Montr\'eal School of Mathematical Physics (2022) (0)
Quantum Algebras and Quantum Groups in q-Special Function Theory (1993) (0)
Roman Jackiw: A Beacon in a Golden Period of Theoretical Physics (2020) (0)
The q-Heun operator of big q-Jacobi type and the q-Heun algebra (2019) (0)
Convolution identities for Dunkl orthogonal polynomials from the osp(1|2) Lie superalgebra (2019) (0)

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