Miwa, T. (Tetsuji)
Overview
Works:  78 works in 176 publications in 3 languages and 1,940 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Inventor 
Classifications:  QC174.26.W28, 530.143 
Publication Timeline
.
Most widely held works by
T Miwa
Solitons : differential equations, symmetries, and infinite dimensional algebras
by
T Miwa(
Book
)
15 editions published between 2000 and 2012 in English and held by 343 WorldCat member libraries worldwide
"The goal of this book is to investigate the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. The work of M. Sato on the algebraic structure of completely integrable systems is discussed, together with developments of these ideas in the work of M. Kashiwara." "This book should be accessible to anyone with a knowledge of differential and integral calculus and elementary complex analysis, and it will be a valuable resource to the novice and expert alike."Jacket
15 editions published between 2000 and 2012 in English and held by 343 WorldCat member libraries worldwide
"The goal of this book is to investigate the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. The work of M. Sato on the algebraic structure of completely integrable systems is discussed, together with developments of these ideas in the work of M. Kashiwara." "This book should be accessible to anyone with a knowledge of differential and integral calculus and elementary complex analysis, and it will be a valuable resource to the novice and expert alike."Jacket
Algebraic analysis of solvable lattice models
by
M Jimbo(
Book
)
12 editions published between 1994 and 1999 in English and held by 273 WorldCat member libraries worldwide
12 editions published between 1994 and 1999 in English and held by 273 WorldCat member libraries worldwide
Physical combinatorics
by
Masaki Kashiwara(
Book
)
10 editions published in 2000 in English and held by 242 WorldCat member libraries worldwide
"This work is concerned with combinatorial aspects arising in the theory of exactly solvable models and representation theory. Recent developments in integrable models reveal an unexpected link between representation theory and statistical mechanics through combinatorics. For example, Young tableaux, which describe the basis of irreducible representations, appear in the Bethe Ansatz method in quantum spin chains as labels for the eigenstates of Hamiltonians."
10 editions published in 2000 in English and held by 242 WorldCat member libraries worldwide
"This work is concerned with combinatorial aspects arising in the theory of exactly solvable models and representation theory. Recent developments in integrable models reveal an unexpected link between representation theory and statistical mechanics through combinatorics. For example, Young tableaux, which describe the basis of irreducible representations, appear in the Bethe Ansatz method in quantum spin chains as labels for the eigenstates of Hamiltonians."
Nonlinear integrable systemsclassical theory and quantum theory : proceedings of RIMS symposium, Kyoto, Japan, 1316 May, 1981
by
M Jimbo(
Book
)
7 editions published in 1983 in English and held by 200 WorldCat member libraries worldwide
7 editions published in 1983 in English and held by 200 WorldCat member libraries worldwide
Integrable systems in quantum field theory and statistical mechanics
by
M Jimbo(
Book
)
9 editions published in 1989 in English and held by 178 WorldCat member libraries worldwide
9 editions published in 1989 in English and held by 178 WorldCat member libraries worldwide
Conformal field theory and solvable lattice models
by
M Jimbo(
Book
)
7 editions published in 1988 in English and held by 175 WorldCat member libraries worldwide
Conformal field theory and solvable lattice models
7 editions published in 1988 in English and held by 175 WorldCat member libraries worldwide
Conformal field theory and solvable lattice models
MathPhys odyssey 2001 : integrable models and beyond : in honor of Barry M. McCoy
(
Book
)
11 editions published in 2002 in English and held by 161 WorldCat member libraries worldwide
11 editions published in 2002 in English and held by 161 WorldCat member libraries worldwide
Special functions : proceedings of the Hayashibara Forum 1990, held in Fujisaki Institute, Okayama, Japan, August 1620, 1990
by Hayashibara Forum(
Book
)
4 editions published in 1991 in English and held by 143 WorldCat member libraries worldwide
4 editions published in 1991 in English and held by 143 WorldCat member libraries worldwide
Algebraic analysis and around : in honor of Professor Masaki Kashiwara's 60th Birthday
by Algebraic analysis and around(
Book
)
9 editions published in 2009 in English and held by 89 WorldCat member libraries worldwide
9 editions published in 2009 in English and held by 89 WorldCat member libraries worldwide
ICM90 Satellite Conference Proceedings Special Functions
by
Masaki Kashiwara(
)
2 editions published in 1991 in English and held by 22 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 22 WorldCat member libraries worldwide
Common trends in mathematics and quantum field theories : 1990 Yukawa International Seminar : School: Kansai Seminar House, Kyoto, Japan, May 1016, 1990 : Workshop: RIMS, Kyoto University, Japan, May 1719, 1990
by Yukawa International Seminar(
Book
)
2 editions published in 1991 in English and held by 17 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 17 WorldCat member libraries worldwide
Field theory of the 2dimensional Ising model in the scaling limit
by
Mikio Satō(
Book
)
3 editions published in 1976 in English and held by 6 WorldCat member libraries worldwide
3 editions published in 1976 in English and held by 6 WorldCat member libraries worldwide
Soriton no sūri
(
Book
)
5 editions published between 1993 and 2007 in Japanese and held by 5 WorldCat member libraries worldwide
5 editions published between 1993 and 2007 in Japanese and held by 5 WorldCat member libraries worldwide
Nonlinear integrable systems : Classical theory and quantum theory : proceedings of RIMS symposium
(
Book
)
2 editions published in 1983 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1983 in English and held by 4 WorldCat member libraries worldwide
The monodromy matrices of the XXZ model in the infinite volume limit
by
T Miwa(
Book
)
2 editions published in 1997 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We consider the XXZ model in the infinite volume limit with spin 1/2 quantum space and higher spin auxiliary space. Using perturbation theory arguments, we relate the half infinite transfer matrices of this class of models to certain U[subscript q](ŝl₂) intertwiners introduced by Nakayashiki. We construct the monodromy matrices, and show that the one with spin 1 auxiliary space gives rise to the L operator."
2 editions published in 1997 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We consider the XXZ model in the infinite volume limit with spin 1/2 quantum space and higher spin auxiliary space. Using perturbation theory arguments, we relate the half infinite transfer matrices of this class of models to certain U[subscript q](ŝl₂) intertwiners introduced by Nakayashiki. We construct the monodromy matrices, and show that the one with spin 1 auxiliary space gives rise to the L operator."
Extended vertex operator algebras and monomial bases
by
Boris L Feigin(
Book
)
2 editions published between 1998 and 1999 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We present a vertex operator algebra which is an extension of the level k vertex operator algebra for the ŝl₂ conformal field theory. We construct monomial basis of its irreducible representations."
2 editions published between 1998 and 1999 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We present a vertex operator algebra which is an extension of the level k vertex operator algebra for the ŝl₂ conformal field theory. We construct monomial basis of its irreducible representations."
Golonomnye kvantovye poli︠a︡ : sbornik stateĭ
by
Mikio Satō(
Book
)
2 editions published in 1983 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1983 in Russian and held by 3 WorldCat member libraries worldwide
Vertex operator algebra arising from the minimal series M(3,p) and monomial basis
by
Boris L Feigin(
Book
)
2 editions published between 2000 and 2001 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We study a vertex operator algebra (VOA) V related to the M(3,p) Virasoro minimal series. This VOA reduces in the simplest case p = 4 to the level two integrable vacuum module of ŝl₂. On V there is an action of a commutative current a(z), which is an analog of the current e(z) of ŝl₂. Our main concern is the subspace W generated by this action from the highest weight vector of V. Using the Fourier components of a(z), we present a monomial basis of W and a semiinfinite monomial basis of V. We also give a Gordon type formula for their characters."
2 editions published between 2000 and 2001 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We study a vertex operator algebra (VOA) V related to the M(3,p) Virasoro minimal series. This VOA reduces in the simplest case p = 4 to the level two integrable vacuum module of ŝl₂. On V there is an action of a commutative current a(z), which is an analog of the current e(z) of ŝl₂. Our main concern is the subspace W generated by this action from the highest weight vector of V. Using the Fourier components of a(z), we present a monomial basis of W and a semiinfinite monomial basis of V. We also give a Gordon type formula for their characters."
The integral formula for the solutions of the quantum KnizhnikZamolodchikov equation associated with U[subscript q](ŝl[subscript n]) for [absolute value of q] = 1
by
T Miwa(
Book
)
1 edition published in 1999 in English and held by 2 WorldCat member libraries worldwide
Abstract: "We write the integral formula of TarasovVarchenko type for the solutions to the quantum KnizhnikZamolodchikov equation associated with a tensor product of the vector representations of sl[subscript n]. We consider the case where the deformation parameter q satisfies [absolute value of q] = 1. We use the bosonization of the type II vertex operators in order to find the hypergeometric pairing in this setting."
1 edition published in 1999 in English and held by 2 WorldCat member libraries worldwide
Abstract: "We write the integral formula of TarasovVarchenko type for the solutions to the quantum KnizhnikZamolodchikov equation associated with a tensor product of the vector representations of sl[subscript n]. We consider the case where the deformation parameter q satisfies [absolute value of q] = 1. We use the bosonization of the type II vertex operators in order to find the hypergeometric pairing in this setting."
Decomposition of qdeformed Fock spaces
by
Masaki Kashiwara(
Book
)
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
Abstract: "A decomposition of the levelone qdeformed Fock representations of U[subscript q](ŝl[subscript n]) is given. It is found that the action of U'[subscript q](ŝl[subscript n]) on these Fock spaces is centralized by a Heisenberg algebra, which arises from the center of the affine Hecke algebra Ĥ[subscript N] in the limit N > [infinity]. The qdeformed Fock space is shown to be isomorphic as a U'[subscript q](ŝl[subscript n])Heisenbergbimodule to the tensor product of a level one irreducible highest weight representation of U'[subscript q](ŝl[subscript n]) and the Fock representation of the Heisenberg algebra. The isomorphism is used to decompose the qwedging operators, which are intertwiners between the qdeformed Fock spaces, into constituents coming from U'[subscript q](ŝl[subscript n]) and from the Heisenberg algebra."
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
Abstract: "A decomposition of the levelone qdeformed Fock representations of U[subscript q](ŝl[subscript n]) is given. It is found that the action of U'[subscript q](ŝl[subscript n]) on these Fock spaces is centralized by a Heisenberg algebra, which arises from the center of the affine Hecke algebra Ĥ[subscript N] in the limit N > [infinity]. The qdeformed Fock space is shown to be isomorphic as a U'[subscript q](ŝl[subscript n])Heisenbergbimodule to the tensor product of a level one irreducible highest weight representation of U'[subscript q](ŝl[subscript n]) and the Fock representation of the Heisenberg algebra. The isomorphism is used to decompose the qwedging operators, which are intertwiners between the qdeformed Fock spaces, into constituents coming from U'[subscript q](ŝl[subscript n]) and from the Heisenberg algebra."
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Jimbo, M. (Michio) Author Editor
 Kashiwara, Masaki 1947 Honoree Author Editor
 Tsuchiya, A. (Akihiro) 1943 Editor
 Date, E. (Etsuro) Author
 Conference Board of the Mathematical Sciences Editor
 Kyōto Daigaku Sūri Kaiseki Kenkyūjo
 Satō, Mikio 1928 Author
 McCoy, Barry M. Honoree
 Reid, Miles Translator
 Jinbo, M. (Masaki) Author Editor
Associated Subjects
Algebra Clifford algebras Combinatorial analysis Conformal invariants Decomposition (Mathematics) Differentialdifference equations EquationsNumerical solutions Evolution equations, Nonlinear Fourier analysis Functions, Special Global analysis (Mathematics) Green's functions Group theory Integral equations Ising model Kortewegde Vries equation Lattice dynamics Lattice theory Lie algebras Mathematical analysis Mathematical physics Mathematics Matrices Nonlinear integral equations Nonlinear theories Operator algebras Perturbation (Mathematics) Quantum field theory Quantum theory Representations of algebras Solitons SolitonsMathematics Statistical mechanics Vertex operator algebras