Titre :	Affine lie algebras and quantum groups
Type de document :	texte imprimé
Auteurs :	Fuchs, Jurgen
Editeur :	Cambridge : Cambridge University Press
Année de publication :	1992
Collection :	Cambridge Monographs on Mathematical Physics, ISSN 0269-8242
Importance :	xiv - 433 p.
ISBN/ISSN/EAN :	978-0-521-48412-1
Langues :	Anglais
Catégories :	17-XX Nonassociative rings and algebras:17-01 Instructional exposition (textbooks, tutorial papers, etc.) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B37 Quantum groups (quantized enveloping algebras) and related deformations 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B67 Kac-Moody algebras (structure and representation theory) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B69 Vertex operators; vertex operator algebras and related structures 81-XX Quantum theory:81-01 Instructional exposition (textbooks, tutorial papers, etc.) 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 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R50 Quantum groups and related algebraic methods 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T40 Two-dimensional field theories, conformal field theories, etc.
Mots-clés :	verma modules  integrable representations  highest weight representations  affine lie algebras  modular invariance  fusion rules  duality  wzw theories  semisimple lie algebras  conformal field theory  application of representation theory  quantum groups
Index. décimale :	17C Monographie

Affine lie algebras and quantum groups [texte imprimé] / Fuchs, Jurgen . - Cambridge : Cambridge University Press, 1992 . - xiv - 433 p.. - (Cambridge Monographs on Mathematical Physics, ISSN 0269-8242) .
ISBN : 978-0-521-48412-1
Langues : Anglais

Catégories :	17-XX Nonassociative rings and algebras:17-01 Instructional exposition (textbooks, tutorial papers, etc.) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B37 Quantum groups (quantized enveloping algebras) and related deformations 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B67 Kac-Moody algebras (structure and representation theory) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B69 Vertex operators; vertex operator algebras and related structures 81-XX Quantum theory:81-01 Instructional exposition (textbooks, tutorial papers, etc.) 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 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R50 Quantum groups and related algebraic methods 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T40 Two-dimensional field theories, conformal field theories, etc.
Mots-clés :	verma modules  integrable representations  highest weight representations  affine lie algebras  modular invariance  fusion rules  duality  wzw theories  semisimple lie algebras  conformal field theory  application of representation theory  quantum groups
Index. décimale :	17C Monographie