Michio Jimbo | Academic Influence

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Michio Jimbo

Mathematics

#370

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Algebra

#28

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#54

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Measure Theory

#627

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#860

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Mathematics

Michio Jimbo's Degrees

Bachelors Mathematics University of Tokyo
Masters Mathematics University of Tokyo
PhD Mathematics University of Tokyo

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Why Is Michio Jimbo Influential?

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According to Wikipedia, Michio Jimbo is a Japanese mathematician working in mathematical physics and is a professor of mathematics at Rikkyo University. He is a grandson of the linguist . Career After graduating from the University of Tokyo in 1974, he studied under Mikio Sato at the Research Institute for Mathematical Sciences in Kyoto University. He has made important contributions to mathematical physics, including the initial development of the study of quantum groups-functions for the KP integrable hierarchy, and other related integrable hierarchies , and development of the theory of isomonodromic deformation systems for rational covariant derivative operators.

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Michio Jimbo'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

Aq-difference analogue of U(g) and the Yang-Baxter equation (1985) (1788)
Solitons and Infinite Dimensional Lie Algebras (1983) (1341)
A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation (1986) (1320)
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III (1981) (965)
TRANSFORMATION GROUPS FOR SOLITON EQUATIONS (1982) (836)
QuantumR matrix for the generalized Toda system (1986) (672)
Algebraic Analysis of Solvable Lattice Models. (1994) (669)
Monodromy perserving deformation of linear ordinary differential equations with rational coefficients. II (1981) (648)
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients: I. General theory and τ-function (1981) (597)
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent (1980) (494)
Transformation groups for soliton equations: IV. A new hierarchy of soliton equations of KP-type (1982) (421)
Operator Approach to the Kadomtsev-Petviashvili Equation —Transformation Groups for Soliton Equations III— (1981) (319)
Diagonalization of theXXZ Hamiltonian by vertex operators (1992) (284)
Method for Generating Discrete Soliton Equations. I (1983) (281)
INTRODUCTION TO THE YANG-BAXTER EQUATION (1989) (268)
Monodromy Problem and the Boundary Condition for Some Painlevé Equations (1982) (266)
Quantum KZ equation with |q| = 1 and correlation functions of the XXZ model in the gapless regime (1996) (265)
Correlation functions of the XXZ model for Δ < − 1 (1992) (257)
A q-analog of the sixth Painlevé equation (1995) (233)
Transformation Groups for Soliton Equations —Euclidean Lie Algebras and Reduction of the KP Hierarchy— (1982) (224)
Exactly solvable SOS models: local height probabilities and theta function identities (1987) (216)
Painlevé test for the self-dual Yang-Mills equation (1982) (201)
Studies on holonomic quantum fields, XI (1977) (199)
Yang-Baxter Equation in Integrable Systems (1990) (195)
Quasi-Hopf twistors for elliptic quantum groups (1997) (194)
KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI– (1981) (184)
Solvable lattice models related to the vector representation of classical simple Lie algebras (1988) (178)
Holonomic Quantum Fields III (1979) (177)
Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras (2000) (168)
Exactly Solvable SOS Models II: Proof of the star-triangle relation and combinatorial identities (1988) (154)
Fusion of the eight vertex SOS model (1986) (152)
Local state probabilities of solvable lattice models: An An−1(1) family (1988) (148)
Monodromy Preserving Deformations Of Linear Differential Equations With Rational Coefficients. 1. (1981) (146)
Solvable lattice models whose states are dominant integral weights of Ait−1(1) (1987) (138)
XXZ chain with a boundary (1994) (134)
Holonomic Quantum Fields. II — The Riemann-Hilbert Problem (1979) (133)
Hidden Grassmann Structure in the XXZ Model (2006) (121)
Hidden Grassmann Structure in the XXZ Model II: Creation Operators (2008) (109)
Difference equations for the correlation functions of the eight-vertex model (1992) (107)
Difference equations in spin chains with a boundary (1995) (105)
Asymptotic representations and Drinfeld rational fractions (2011) (102)
QUANTUM AFFINE SYMMETRY IN VERTEX MODELS (1992) (101)
Combinatorics of representations of $$U_q (\widehat{\mathfrak{s}\mathfrak{l}}(n))$$ atq=0 (1991) (96)
Quantum continuous gl ∞ : Semiinﬁnite construction of representations (2011) (95)
Quantum continuous $\mathfrak{gl}_{\infty}$: Semiinfinite construction of representations (2010) (84)
Symmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials (2002) (80)
One-dimensional configuration sums in vertex models and affine Lie algebra characters (1989) (79)
Vertex operators in solvable lattice models (1993) (78)
Quantum R matrix related to the generalized Toda system: An algebraic approach (1988) (78)
A differential ideal of symmetric polynomials spanned by Jack polynomials at rβ = -(r=1)/(k+1) (2001) (77)
Generalized chiral Potts models and minimal cyclic representations of (1991) (75)
Quantum toroidal gl 1 ?> and Bethe ansatz (2015) (75)
Holonomic quantum fields IV (1979) (72)
Quantum continuous gl ∞ : Tensor products of Fock modules and W n -characters (2011) (70)
TheAn/(1) face models (1988) (67)
Representations of quantum toroidal gln (2012) (65)
Quantum toroidal $\mathfrak{gl}_{1}$-algebra: Plane partitions (2011) (62)
Hidden Grassmann Structure in the XXZ Model IV: CFT Limit (2009) (62)
Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras (1983) (58)
Massless Xxz Model and Degeneration of The (1996) (57)
A recursion formula for the correlation functions of an inhomogeneous XXX model (2004) (57)
Branching rules for quantum toroidal gl(n) (2013) (56)
Paths, Maya Diagrams and representations of ŝl (r, C) (1989) (55)
Reduced qKZ Equation and Correlation Functions of the XXZ Model (2004) (54)
Bosonization of vertex operators for the face model (1996) (53)
Algebraic Representation of Correlation Functions in Integrable Spin Chains (2006) (52)
Quantum continuous $\mathfrak{gl}_{\infty}$: Tensor products of Fock modules and $\mathcal{W}_{n}$-characters (2010) (52)
Lukyanov's screening operators for the deformed Virasoro algebra (1996) (46)
Massless $XXZ$ Model and Degeneration of the Elliptic Algebra $A_{q,p}(\widehat{sl_2})$ (1996) (46)
K-6 DPSU-982 Elliptic algebra U q , p ( ŝl 2 ) : Drinfeld currents and vertex operators (1998) (46)
TRANSFORMATION GROUPS FOR SOLITON EQUATIONS. 6. KP HIERARCHIES OF ORTHOGONAL AND SYMPLECTIC TYPE (1981) (45)
CFT approach to the $q$-Painlev\'e VI equation (2017) (43)
Density Matrix of a Finite Sub-chain of the Heisenberg Anti-ferromagnet (2005) (43)
STRUCTURE OF THE SPACE OF STATES IN RSOS MODELS (1992) (42)
Introduction to Microlocal Analysis (1976) (41)
Finite Type Modules and Bethe Ansatz for Quantum Toroidal $${\mathfrak{gl}_1}$$gl1 (2016) (41)
Integrals of motion from quantum toroidal algebras (2017) (40)
Traces on the Sklyanin algebra and correlation functions of the eight-vertex model (2005) (38)
Solvable lattice models with broken Z N symmetry and Hecke's indefinite modular forms (1986) (36)
Fermionic structure in the sine-Gordon model: Form factors and null-vectors (2011) (36)
Bosonic Formulas for (k, l)-Admissible Partitions (2001) (36)
On a Duality of Branching Rules for Affine Lie Algebras (1985) (36)
On one-point functions of descendants in sine-Gordon model (2009) (36)
Notes on highest weight modules of the elliptic algebra ${\cal A}_{q,p}\left(\widehat{sl}_2\right)$ (1994) (35)
Quasi-Periodic Solutions of the Orthogonal KP Equation —Transformation Groups for Soliton Equations V— (1982) (34)
HYPERGEOMETRIC-TYPE INTEGRALS AND THE $\mathfrak{sl}(2, {\rm C})$ KNIZHNIK-ZAMOLODCHIKOV EQUATION (1990) (33)
R matrix for cyclic representations of Uq(ŝl(3,C)) at q3 = 1 (1990) (33)
A Coset-Type Construction for the Deformed Virasoro Algebra (1997) (33)
Counting minimal form factors of the restricted sine-Gordon model (2003) (33)
Free Field Construction for the ABF Models in Regime II (2000) (32)
Spaces of coinvariants and fusion product I. From equivalence theorem to Kostka polynomials (2002) (30)
Studies on holonomic quantum fields, XIII (1979) (28)
Fermionic Formulas for (k , 3)-admissible Configurations (2002) (28)
Representations of Uq(gl(n,C)) at q=0 and the Robinson-Shensted correspondence (1990) (28)
Crystal base andq-vertex operators (1993) (28)
Quantum toroidal $\mathfrak{g}{{\mathfrak{l}}_{1}}$ and Bethe ansatz (2015) (27)
Holonomic Quantum Fields I (2005) (24)
Aspects of Holonomic quantum fields (1980) (24)
Smirnov's integrals and the quantum Knizhnik-Zamolodchikov equation of level 0 (1993) (22)
New R Matrices Associated with Cyclic Representations of Uq(A2(2)) (1991) (22)
Holonomic Quantum Fields — The unanticipated link between deformation theory of differential equations and quantum fields — (1980) (22)
Spaces of coinvariants and fusion product II. sl2 character formulas in terms of Kostka polynomials (2004) (22)
An Inverse Scattering Problem and the Fifth Painlevé Transcendent (1979) (22)
FERMIONIC BASIS FOR SPACE OF OPERATORS IN THE XXZ MODEL (2007) (21)
Completeness of a fermionic basis in the homogeneous XXZ model (2009) (21)
New Trends in Quantum Integrable Systems (2010) (21)
Irreducible Decomposition of Fundamental Modules for $A_{l}^{(1)}$ and $C_{l}^{(1)}$, and Hecke Modular Forms (1984) (20)
Fermionic Formulas for Eigenfunctions of the Difference Toda Hamiltonian (2008) (20)
Deformation of linear ordinary differential equations, II (1980) (20)
Vertex Operator Algebra Arising from the Minimal Series M(3,p) and Monomial Basis (2000) (20)
Free field approach to the dilute AL models (1999) (19)
LEVEL-0 STRUCTURE OF LEVEL-1 UQ (SL2)-MODULES AND MACDONALD POLYNOMIALS (1995) (18)
1 c expansion of the density matrix for the δ -function Bose gas (1981) (17)
Principal $\hat{sl}(3)$ subspaces and quantum Toda Hamiltonian (2007) (17)
Integrable Systems and Infinite Dimensional Lie Algebras (1985) (16)
AN $A_{n - 1}^{\left( 1 \right)} $ FAMILY OF SOLVABLE LATTICE MODELS (1987) (16)
Studies on Holonomic Quantum Fields I (超函数と線型微分方程式 V) (1977) (15)
A new realization of the basic representation of An(1) (1989) (15)
Classification of solutions to the star-triangle relation for a class of 3- and 4-state IRF models (1985) (14)
A solvable lattice model and related Rogers-Ramanujan type identities (1985) (14)
Fermionic screening operators in the sine–Gordon model (2011) (12)
Paths, Maya Diagrams and representations of $\widehat{\mathfrak{sl}}(r, \mathrm{C})$ (1989) (12)
Generalized chiral Potts models and minimal cyclic representations of $$U_q (\widehat{\mathfrak{g}\mathfrak{l}}(n,C))$$ (1991) (12)
On Lepowsky-Wilson's Z-algebra (2000) (11)
Particle Content of the (k, 3)-configurations (2002) (11)
Cyclic Representations of Uq(\mathfrak{sl}(n+1, C)) at qN=1 (1991) (10)
Symmetric polynomials vanishing on thediagonals shifted by roots of unity (2002) (10)
Towards trigonometric deformation of sl^2 coset VOA (2018) (10)
A Monomial Basis for the Virasoro Minimal Series M(p,p′) : The Case 1 (2004) (10)
Principal $\widehat{\mathfrak{sl}_3}$ subspaces and quantum Toda Hamiltonian (2009) (9)
A φ1,3-Filtration of the Virasoro Minimal Series M(p, p') with 1 < p'/p < 2 (2008) (9)
Quantum toroidal gl sub 1-algebra: Plane partitions: plane partitions (2012) (9)
Fermions Acting on Quasi-local Operators in the XXZ Model (2013) (9)
Braid group representations arising from the generalized chiral Potts models. (1992) (9)
Studies on holonomic quantum fields, X (1978) (8)
CENTRAL ELEMENTS OF THE ELLIPTIC YANG–BAXTER ALGEBRA IN ROOTS OF UNITY (2002) (8)
Branching rules for quantum toroidal $\mathfrak{gl}_n$ (2013) (7)
Errata: A coset-type construction for the deformed Virasoro algebra, Lett. Math. Phys. 43(2) (1998), 173–185. (1998) (7)
Sets of rigged paths with Virasoro characters (2005) (6)
Solvable Lattice Models and Quantum Groups (2010) (6)
An evaluation homomorphism for quantum toroidal gl(n) algebras (2017) (6)
Creation operators for the Fateev-Zamolodchikov spin chain (2014) (5)
Holonomy Structure of Landau Singularities and Feynman Integrals (1976) (5)
A functional model for the tensor product of level 1 highest and level -1 lowest modules for the quantum affine algebra Uq(sT2) (2003) (5)
Spontaneous staggered polarisations of the cyclic solid-on-solid models (1990) (5)
Combinatorics of vertex operators and deformed W-algebra of type D(2,1;α) (2021) (5)
Supplement to holonomic quantum fields. IV (1981) (5)
Spaces of coinvariants and fusion product II. Affine sl_2 character formulas in terms of Kostka polynomials (2002) (5)
On Landau-Lifshitz Equation and Infinite Dimensional Groups (1985) (5)
Infinite Analysis: Proceedings of the RIMS Research Project 1991 (1992) (4)
Studies on holonomic quantum fields, XV. Double scaling limit of one dimensional $XY$ model (1979) (4)
Quantum Group Symmetry and Lattice Correlation Functions (1992) (4)
Evaluation modules for quantum toroidal ${\mathfrak{gl}}_n$ algebras (2017) (4)
Some remarks on the differential approach to the star-triangle relation (1984) (4)
Monodromy preserving deformation of ramified solutions to (Δ−m2)u = 0 (1981) (4)
Soliton equations and fundamental representations of A2l(2) (1982) (4)
Studies on holonomic quantum fields, XVI. Density matrix of impenetrable bose gas (1979) (4)
MEAN STAGGERED POLARIZATION FOR THE HIGHER SPIN ANALOG OF THE 6-VERTEX MODEL (1992) (4)
Deformations of $$\mathcal {W}$$ algebras via quantum toroidal algebras (2020) (3)
Symmetric Tensors of the Family (1988) (3)
The $${(\mathfrak{gl}_{m},\mathfrak{gl}_{n})}$$(glm,gln) Duality in the Quantum Toroidal Setting (2018) (3)
Two Character Formulas for { {sl}}2 Spaces of Coinvariants (2004) (3)
The $(\mathfrak{gl}_m,\mathfrak{gl}_n$) duality in the quantum toroidal setting (2018) (3)
Drinfeld currents and vertex operators (1998) (3)
Form factors and action of U_{\sqrt{-1}}(sl_2~) on infinite-cycles (2003) (2)
Background of the problem (1994) (2)
Correction to: Fermionic Formulas for Eigenfunctions of the Difference Toda Hamiltonian (2018) (2)
Introduction to holonomic quantum fields (1982) (2)
X X Z chain with a boundary (2003) (2)
Classical Yang-Baxter equation (1990) (2)
TWO CHARACTER FORMULAS FOR $\widehat{\mathfrak{sl}}_2$ SPACES OF COINVARIANTS (2002) (2)
Combinatorics of representations of U$_{q}$(s$\widehat{l}$(n)) at q = 0 (1990) (2)
Studies on holonomic quantum fields, XII (1979) (2)
Studies on holonomic quantum fields, VIII (1978) (2)
Cyclic Representations of Uq(8l(n+l, O) at qN=l (1991) (1)
Preface to the Present Volume (1988) (1)
A $\phi_{1,3}$-filtration of the Virasoro minimal series M(p,p') with 1 (2006) (1)
Bosonic formulas for $\hat{sl_2}$ coinvariants (2001) (1)
Gelfand-Zetlin basis, Whittaker Vectors and a Bosonic Formula for the ${\mathfrak{sl}}_{n+1}$ Principal Subspace (2011) (1)
Theory of τ functions in integrable systems (1982) (1)
Two Remarks on Recent Developments in Solvable Models (1988) (1)
Notes on Highest Weight Modules of the Elliptic Algebra [numerical formula] (1995) (1)
Introduction to Special Issue: Integrable Quantum Systems and Solvable Statistical Mechanics Models (2009) (1)
Erratum and comment for XI [9] (1979) (0)
Exactly solvable lattice models and character formulas(Fractals and Related Topics) (1987) (0)
Space of states—mathematical picture (1994) (0)
New level-$0$ action of $U_q(germ sgerm l_2)$ on level-$1$ modules (1995) (0)
Finite size approximation for representations of $U_q(\widehat{\mathfrak{sl}}(n))$(Combinatorial Aspects in Representation Theory and Geometry) (1991) (0)
O ct 2 00 2 SPACES OF COINVARIANTS AND FUSION PRODUCT II . ŝl 2 CHARACTER FORMULAS IN TERMS OF KOSTKA (2002) (0)
Central Elements of the Elliptic Yang–Baxter Algebra at Roots of Unity (2003) (0)
Correlation functions—physical derivation (1994) (0)
Traces of vertex operators (1994) (0)
O ct 1 99 8 December 1997 DPSU-97-11 Quasi-Hopf twistors for elliptic quantum groups (1998) (0)
Monodromy Preserving Deformation of Linear Differential Equations and Quantum Field Theory (非線形発展方程式に関する数理物理的研究(研究会報告)) (1978) (0)
Quantum Toroidal Comodule Algebra of Type An−1 and Integrals of Motion (2021) (0)
A ug 1 99 5 A q-anaolg of the sixth Painlevé equation (1995) (0)
Quantum group symmetry and lattice correlation functions(Algebraic Analysis and Number Theory) (1992) (0)
Monodromy, Solitons and Infinite Dimensional Lie Algebras (1985) (0)
FERMIONIC BASIS OF LOCAL OPERATORS IN QUANTUM INTEGRABLE MODELS (2013) (0)
Bosonic Formulas for Sl 2 Coinvariants (0)
Q A / 0 00 52 03 22 M ay 2 00 0 On Lepowsky-Wilson ’ s Z-algebra (0)
Q A ] 1 8 A ug 2 01 7 INTEGRALS OF MOTION FROM QUANTUM TOROIDAL ALGEBRAS (0)
Dannie Heineman Prize for Mathematical Physics Prize Lecture: Correlation Functions in Integrable Models II: The Role of Quantum Affine Symmetry (2013) (0)
Solving the star-triangle relation(Development of Soliton Theory) (1985) (0)
The six-vertex model in the anti-ferroelectric regime (1994) (0)
On a Duality of Branching Coefficients (1985) (0)
Correlation functions and form factors (1994) (0)
New Level-0 Action of $U_q(\widehat{sl}_2)$ on Level-1 Modules (1995) (0)
Variety of solutions I — quantization (1990) (0)
Solvable lattice models and the elliptic theta functions(Theta Functions and Related Topics) (1986) (0)
2 1 A ug 2 00 2 SPACES OF COINVARIANTS AND FUSION PRODUCT II . ŝl 2 CHARACTER FORMULAS IN TERMS OF KOSTKA (2002) (0)
Dimension Formula for the Landau Singularity (代数解析学の諸問題) (1976) (0)
Studies on holonomic quantum fields, XIV (1979) (0)
Level one modules and bosonization (1994) (0)
The spin 1/2 XXZ model for Δ<-1 (1994) (0)
Variety of solutions II — IRF models and others (1990) (0)
Crystal Base and ςr-Vertex Operators (2004) (0)
Solvability and Symmetry (1994) (0)
Vertex Operator Algebra in the XXZ Chain with a Boundary (場の理論の共通課題) (1995) (0)
A. List of formulas (1994) (0)
Gelfand-Zetlin basis, Whittaker vectors and a bosonic formula for the $\sln$ principal subspace (2009) (0)
Cyclic Representations of U q ( 8 l ( n + l , O ) at q N = l (2006) (0)

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