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Lectures on representation theory Knizhnik-Zamolodchikov equations / Etingof, Pavel I.

Public ISBD Titre : Lectures on representation theory Knizhnik-Zamolodchikov equations Type de document : texte imprimé Auteurs : Etingof, Pavel I. ; Kirillov, Alexander Jr. ; Frenkel, Igor B. Editeur : Providence, R.I. : American Mathematical Society Année de publication : 1998 Collection : Mathematical Surveys and Monographs num. 58 Importance : xiv - 198 p. ISBN/ISSN/EAN : 978-0-8218-0496-4 Langues : Anglais (eng) Catégories : 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) 35-XX Partial differential equations:35QXX Equations of mathematical physics and other areas of application :35Q40 Equations from quantum mechanics 39-XX Difference and functional equations:39AXX Difference equations :39A10 Difference equations, additive 81-XX Quantum theory:81-02 Research exposition (monographs, survey articles) 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T40 Two-dimensional field theories, conformal field theories, etc. Mots-clés : intertwining operators  quantum affine algebras  quantum knizhnik-zamolodchikov equations  classical knizhnik-zamolodchikov equations  classical affine algebras  evaluation representations  highest weight representations Index. décimale : 81C Monographie Lectures on representation theory Knizhnik-Zamolodchikov equations [texte imprimé] / Etingof, Pavel I. ; Kirillov, Alexander Jr. ; Frenkel, Igor B. . - American Mathematical Society, 1998 . - xiv - 198 p.. - (Mathematical Surveys and Monographs; 58) . ISBN : 978-0-8218-0496-4 Langues : Anglais (eng) Catégories : 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) 35-XX Partial differential equations:35QXX Equations of mathematical physics and other areas of application :35Q40 Equations from quantum mechanics 39-XX Difference and functional equations:39AXX Difference equations :39A10 Difference equations, additive 81-XX Quantum theory:81-02 Research exposition (monographs, survey articles) 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T40 Two-dimensional field theories, conformal field theories, etc. Mots-clés : intertwining operators  quantum affine algebras  quantum knizhnik-zamolodchikov equations  classical knizhnik-zamolodchikov equations  classical affine algebras  evaluation representations  highest weight representations Index. décimale : 81C Monographie

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On axiomatic approaches to vertex operator algebras and modules / Frenkel, Igor B.

Public ISBD Titre : On axiomatic approaches to vertex operator algebras and modules Type de document : texte imprimé Auteurs : Frenkel, Igor B., Auteur ; Yi-Zhi Huang, Auteur ; Lepowsky, James, Auteur Editeur : Providence, R.I. : American Mathematical Society Année de publication : 1993 Collection : Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 494 Importance : 64 p. ISBN/ISSN/EAN : 978-0-8218-2555-6 Langues : Anglais (eng) Catégories : 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B10 Representations, algebraic theory (weights) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B68 Virasoro and related algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B69 Vertex operators; vertex operator algebras and related structures Mots-clés : Virasoro algebras  tensor products  vertex operator algebras  representations Index. décimale : Mem On axiomatic approaches to vertex operator algebras and modules [texte imprimé] / Frenkel, Igor B., Auteur ; Yi-Zhi Huang, Auteur ; Lepowsky, James, Auteur . - American Mathematical Society, 1993 . - 64 p.. - (Memoirs of the American Mathematical Society, ISSN 0065-9266; 494) . ISBN : 978-0-8218-2555-6 Langues : Anglais (eng) Catégories : 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B10 Representations, algebraic theory (weights) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B68 Virasoro and related algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B69 Vertex operators; vertex operator algebras and related structures Mots-clés : Virasoro algebras  tensor products  vertex operator algebras  representations Index. décimale : Mem

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