Titre :	Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups
Type de document :	texte imprimé
Auteurs :	V. Tarasov ; A. N. Varchenko
Editeur :	Paris : Société Mathématiques de France
Année de publication :	1997
Collection :	Astérisque, ISSN 0303-1179 num. 246
Importance :	vi - 135 p.
Langues :	Anglais
Catégories :	17-XX Nonassociative rings and algebras:17-02 Research exposition (monographs, survey articles) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B37 Quantum groups (quantized enveloping algebras) and related deformations 33-XX Special functions (33-XX deals with the properties of functions as functions) :33-02 Research exposition (monographs, survey articles) 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D60 Basic hypergeometric integrals and functions defined by them 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D70 Other basic hypergeometric functions and integrals in several variables 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations
Mots-clés :	r-matrix  asymptotic solutions  transition functions  tensor coordinates  quantized knihnik-zamolodchokov equation  discrete gauss-manin connection
Index. décimale :	AST

Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups [texte imprimé] / V. Tarasov ; A. N. Varchenko . - Paris : Société Mathématiques de France, 1997 . - vi - 135 p. . - (Astérisque, ISSN 0303-1179; 246) .
Langues : Anglais

Catégories :	17-XX Nonassociative rings and algebras:17-02 Research exposition (monographs, survey articles) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B37 Quantum groups (quantized enveloping algebras) and related deformations 33-XX Special functions (33-XX deals with the properties of functions as functions) :33-02 Research exposition (monographs, survey articles) 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D60 Basic hypergeometric integrals and functions defined by them 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D70 Other basic hypergeometric functions and integrals in several variables 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations
Mots-clés :	r-matrix  asymptotic solutions  transition functions  tensor coordinates  quantized knihnik-zamolodchokov equation  discrete gauss-manin connection
Index. décimale :	AST