scientific article; zbMATH DE number 1317285

zbMATH Open0952.17016MaRDI QIDQ4256584

Jürgen Fuchs

Publication date: 25 July 1999

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

conformal field theorycharactersdualitytensor productshighest weight representationsquantum groupsVerma modulesaffine Lie algebrassemisimple Lie algebrasmodular invariancebranching rulesfusion rulesKnizhnik-Zamolodchikov equationrational conformal field theorySugawara constructionintegrable representationsWZW theoriesnull vectorsconformal embeddingsapplication of representation theoryfermionic constructionGepner-Witten equationquantum deformation of enveloping algebratruncated Kronecker products

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to nonassociative rings and algebras (17-01)

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