Alexander Molev | Academic Influence

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Alexander Molev

Mathematics

#4216

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#6037

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Algebra

#174

World Rank

#266

Historical Rank

Measure Theory

#3329

World Rank

#3933

Historical Rank

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Mathematics

Alexander Molev's Degrees

Bachelors Mathematics Moscow State University

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Why Is Alexander Molev Influential?

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According to Wikipedia, Alexander Ivanovich Molev is a Russian-Australian mathematician. He completed his Ph.D. in 1986 under the supervision of Alexandre Kirillov at Moscow State University. He was awarded the Australian Mathematical Society Medal in 2001.

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Alexander Molev's Published Works

Number of citations in a given year to any of this author's works

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

Yangians and Classical Lie Algebras (1994) (556)
Gelfand-Tsetlin bases for classical Lie algebras (2002) (141)
A Littlewood-Richardson rule for factorial Schur functions (1997) (107)
Yangians and their applications (2002) (103)
Coideal subalgebras in quantum affine algebras (2002) (87)
Finite dimensional irreducible representations of twisted Yangians (1997) (76)
Littlewood-Richardson polynomials (2007) (76)
A Basis for Representations of Symplectic Lie Algebras (1998) (69)
REPRESENTATIONS OF REFLECTION ALGEBRAS (2001) (62)
On the R-Matrix Realization of Yangians and their Representations (2005) (60)
Factorial supersymmetric Schur functions and super Capelli identities (1996) (56)
Capelli identities for classical Lie algebras (1997) (56)
On Higher-Order Sugawara Operators (2008) (52)
Feigin–Frenkel center in types B, C and D (2011) (50)
The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite W-algebras (2010) (47)
A New Fusion Procedure for the Brauer Algebra and Evaluation Homomorphisms (2011) (46)
Comultiplication Rules for the Double Schur Functions and Cauchy Identities (2008) (42)
Sugawara Operators for Classical Lie Algebras (2018) (41)
Isomorphism Between the R-Matrix and Drinfeld Presentations of Yangian in Types B, C and D (2017) (38)
Representations of twisted q-Yangians (2009) (38)
Sklyanin determinant, Laplace operators, and characteristic identities for classical Lie algebras (1995) (37)
Gelfand-Tsetlin basis for representations of Yangians (1994) (37)
The MacMahon Master Theorem for right quantum superalgebras and higher Sugawara operators for \hat gl(m|n) (2009) (36)
Irreducibility criterion for tensor products of Yangian evaluation modules (2000) (35)
Fusion procedure for the Brauer algebra (2008) (35)
Weight bases of Gelfand-Tsetlin type for representations of classical Lie algebras (1999) (35)
Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus (2007) (30)
Idempotents for Birman-Murakami-Wenzl algebras and reflection equation (2011) (30)
On the Idempotents of Hecke Algebras (2008) (29)
Yangians and transvector algebras (1998) (29)
On the fusion procedure for the symmetric group (2006) (28)
Centralizer construction for twisted Yangians (1997) (27)
A Weight Basis for Representations of Even Orthogonal Lie Algebras (1999) (25)
Center of the quantum affine vertex algebra in type A (2016) (22)
Explicit generators in rectangular afﬁne W -algebras of type A (2016) (22)
Explicit generators in rectangular affine $$\mathcal {W}$$W-algebras of type A (2014) (22)
Yangian characters and classical W-algebras (2012) (22)
SYMMETRIES AND INVARIANTS OF TWISTED QUANTUM ALGEBRAS AND ASSOCIATED POISSON ALGEBRAS (2007) (22)
Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras (2017) (21)
Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C (2019) (21)
Higher Sugawara Operators for the Quantum Affine Algebras of Type A (2015) (20)
A q-Analogue of the Centralizer Construction and Skew Representations of the Quantum Affine Algebra ? (2006) (18)
Harish-Chandra modules for Yangians (2002) (18)
A New Quantum Analog of the Brauer Algebra (2002) (17)
Noncommutative symmetric functions and laplace operators for classical Lie algebras (1994) (17)
Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D (2019) (16)
Representations of centrally extended Lie superalgebra psl(2|2) (2014) (16)
Representations of twisted Yangians (1992) (16)
Skew representations of twisted Yangians (2004) (15)
On irreducibility of tensor products of evaluation modules for the quantum affine algebra (2003) (12)
The MacMahon Master Theorem for right quantum superalgebras and higher Sugawara operators for $\widehat{\mathfrak{gl}}(m|n)$ (2009) (12)
Eigenvalues of Bethe vectors in the Gaudin model (2015) (11)
Segal–Sugawara vectors for the Lie algebra of type G2 (2016) (10)
CASIMIR ELEMENTS FOR CERTAIN POLYNOMIAL CURRENT LIE ALGEBRAS (2013) (10)
Quasideterminants and Casimir elements for the general linear Lie superalgebra (2004) (10)
Gelfand-Tsetlin bases for representations of finite W-algebras and shifted Yangians (2007) (10)
Quantization of the shift of argument subalgebras in type A (2014) (9)
Representations of the symmetric group in the free Lie (super-) algebra and in the space of harmonic polynomials (1986) (9)
Center of the quantum affine vertex algebra associated with trigonometric R-matrix (2016) (8)
Classical $${\mathcal{W}}$$W-Algebras in Types A, B, C, D and G (2014) (8)
Combinatorial bases for covariant representations of the Lie superalgebra gl(m|n) (2010) (8)
Invariants of the vacuum module associated with the Lie superalgebra gl ( 1 ∣ 1 ) ?> (2015) (8)
Degenerate Affine Hecke Algebras and Centralizer Construction for the Symmetric Groups (2000) (8)
Yangian Characters and Classical $$\mathcal{W}$$-Algebras (2014) (7)
Representations of the twisted quantized enveloping algebra of type C_n (2006) (7)
Isomorphism Between the R-Matrix and Drinfeld Presentations of Yangian in Types B, C and D (2018) (7)
Supersymmetric W-algebras (2019) (6)
Quasideterminants and Casimir elements for the general Lie superalgebra (2003) (6)
Stirling partitions of the symmetric group and Laplace operators for the orthogonal Lie algebra (1998) (6)
A proof of the Kirillov-Kontsevich formula (1984) (5)
On the skew representations of the quantum affine algebra (2006) (5)
A categorical approach to classical and quantum Schur-Weyl duality (2010) (5)
Yangians and Classical Lie Algebras, Part II. Sklyanin determinant, Laplace operators and characteristic identities (1994) (5)
Center at the critical level for centralizers in type A (2019) (5)
MONOMIAL BASES AND BRANCHING RULES (2018) (5)
Casimir elements from the Brauer–Schur–Weyl duality (2012) (5)
Gelfand-Kirillov Conjecture and Harish-Chandra Modules for Finite W-Algebras (2008) (4)
Verma Modules for Yangians (2005) (4)
Characteristic maps for the Brauer algebra (2011) (4)
Representations of Quantum Affine Algebras in their R-Matrix Realization (2020) (4)
On Gelfand-Tsetlin Bases for Representations of Classical Lie Algebras (2000) (3)
Casimir Elements for Some Graded Lie Algebras and Superalgebras (2004) (3)
Odd reflections in the Yangian associated with $$\mathfrak {gl}(m|n)$$ gl ( m | n ) (2021) (3)
Classical W-algebras for centralizers (2020) (2)
On the matrix units for the symmetric group (2006) (2)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On the growth of some Lie algebras of vector fields (1986) (2)
Classical $$\mathcal {W}$$-algebras for Centralizers (2019) (2)
Pfaffian-type Sugawara operators (2011) (1)
Gelfand-Tsetlin bases for representations of (_{}) (2007) (1)
On Segal–Sugawara vectors and Casimir elements for classical Lie algebras (2020) (1)
ON THE ALGEBRAIC STRUCTURE OF THE LIE ALGEBRA OF VECTOR FIELDS ON THE LINE (1989) (1)
Representations of the Super Yangians of Types A and C (2021) (1)
Odd reflections in the Yangian associated with gl(m|n)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {gl}(m (2022) (1)
On Segal--Sugawara vectors for the orthogonal and symplectic Lie algebras (2020) (1)
Casimir elements and Sugawara operators for Takiff algebras (2020) (1)
A Remark on the Higher Capelli Identities (1996) (1)
The OS-250-01 Light Source for Endoscopic Equipment (2002) (1)
Irreducible representations of (_ (2007) (1)
Higher-order Hamiltonians for the trigonometric Gaudin model (2018) (1)
Yangian for _ (2007) (1)
The Gel'fand-Tsetlin basis for irreducible unitarizable representations u(p, q) with a leading weight (1989) (1)
𝒲-Algebras Associated With Centralizers in Type A (2020) (1)
Supersymmetric W-algebras (2021) (0)
Q A ] 2 0 D ec 2 02 1 A Drinfeld-type presentation of the orthosymplectic (2021) (0)
Eigenvalues of Bethe vectors in the Gaudin model (2017) (0)
A quantum Sylvester theorem and skew representations of twisted Yangians (2004) (0)
[OS-250-01 illumination for endoscopic apparatus]. (2002) (0)
ec 2 00 2 Gelfand – Tsetlin bases for classical Lie algebras ∗ (0)
[A pediatric cystoscope CI-VS-01-D]. (1998) (0)
A rod-like optical system for endoscopes (1975) (0)
Gaussian generators for the Yangian associated with the Lie superalgebra $\mathfrak{osp}(1|2m)$ (2023) (0)
Casimir elements and center at the critical level for Takiff algebras (2020) (0)
Feigin–Frenkel center in types B, C and D (2012) (0)
Feigin – Frenkel center in types (2011) (0)
[Calculation of construction parameters of a 2-lens objective situated in media other than air]. (1972) (0)
Weight bases for representations of _ (2007) (0)
Q A ] 3 0 Ju l 2 00 1 Representations of reflection algebras (0)
[Parameter optimization of an endoscopic optical relay system containing double-lens bonded objectives]. (1976) (0)
Higher-order Hamiltonians for the trigonometric Gaudin model (2019) (0)
[Rod-like optics of endoscopes]. (1975) (0)
MONOMIAL BASES AND BRANCHING RULES (2020) (0)
N ov 2 01 9 Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra : types B and D (2019) (0)
Unification of optics of rigid medical endoscopes (1994) (0)
Tensor products of evaluation modules for (_ (2007) (0)
[New unit construction urologic endoscopes]. (1979) (0)
Higher Sugawara Operators for the Quantum Affine Algebras of Type A (2016) (0)
Explicit generators in rectangular affine W\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {W}$$\end{document (2016) (0)
Characteristic maps for the Brauer algebra (2012) (0)
A ] 1 0 Ja n 20 06 Skew representations of twisted Yangians (0)
On Segal–Sugawara vectors and Casimir elements for classical Lie algebras (2021) (0)
Unitarizability of Some Enright-Varadarajan (,,)-modules (1991) (0)
ug 2 00 2 Coideal subalgebras in quantum affine algebras (2009) (0)
[Optic unification of rigid medical endoscopes]. (1994) (0)
S ep 2 02 1 Representations of the Yangians associated with Lie superalgebras osp (2022) (0)
N ov 2 00 2 Yangians and their applications (2002) (0)
A ug 2 00 5 Verma modules for Yangians (2005) (0)
INFORMATION THE TSI-VS-01-D PEDIATRIC CYSTOSCOPE (1998) (0)
A Drinfeld-type presentation of the orthosymplectic Yangians (2021) (0)
[Comparative analysis of the characteristics of endoscopic optical relay systems]. (1976) (0)
Representations of the Yangians Associated with Lie Superalgebras $$\mathfrak {osp}(1|2n)$$ (2021) (0)
Casimir elements and Capelli identities (2007) (0)
[An improved model of the EGDB-VO-4-M esophagogastroduodenoscope]. (1991) (0)
The TSI-VS-01-D pediatric cystoscope (1998) (0)
Quantum Sugawara operators in type $A$ (2022) (0)
Representations of the orthosymplectic Yangian (2021) (0)
[An improved model of the CK-BO-4-M sigmoidoscope]. (1990) (0)
N ov 2 00 2 Gelfand – Tsetlin bases for classical Lie algebras ∗ (0)

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