Affine lie algebras and quantum groups / Fuchs, Jurgen

Public ISBD 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

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
4311	17C30	imprimé / autre	CRDM	17/ANNEAUX ET ALGEBRES NON ASSOCIATIFS	Disponible
4312	17C30	imprimé / autre	CRDM	17/ANNEAUX ET ALGEBRES NON ASSOCIATIFS	Disponible

An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group / Claus Mokler

Public ISBD Titre : An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group Type de document : texte imprimé Auteurs : Claus Mokler, Auteur Editeur : Providence, R.I. : American Mathematical Society Année de publication : 2005 Collection : Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 823 Importance : 90 p. ISBN/ISSN/EAN : 978-0-8218-3648-4 Langues : Anglais Catégories : 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B67 Kac-Moody algebras (structure and representation theory) 22-XX Topological groups, Lie groups :22EXX Lie groups :22E65 Infinite-dimensional Lie groups and their Lie algebras Mots-clés : Kac-Moody groups  reductive algebraic monoid Index. décimale : Mem Résumé : Kac-Moody groups; reductive algebraic monoid An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group [texte imprimé] / Claus Mokler, Auteur . - Providence, R.I. : American Mathematical Society, 2005 . - 90 p.. - (Memoirs of the American Mathematical Society, ISSN 0065-9266; 823) . ISBN : 978-0-8218-3648-4 Langues : Anglais Catégories : 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B67 Kac-Moody algebras (structure and representation theory) 22-XX Topological groups, Lie groups :22EXX Lie groups :22E65 Infinite-dimensional Lie groups and their Lie algebras Mots-clés : Kac-Moody groups  reductive algebraic monoid Index. décimale : Mem Résumé : Kac-Moody groups; reductive algebraic monoid

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
19260	Mem /823	imprimé / autre	CRDM	Mem/MEMOIRS AMS	Disponible

Annihilating fields of standard modules of sl (2,C) ˜ and combinatorial identities / Meurman, Arne

Public ISBD Titre : Annihilating fields of standard modules of sl (2,C) ˜ and combinatorial identities Type de document : texte imprimé Auteurs : Meurman, Arne, Auteur ; Mirko Primc, Auteur Editeur : Providence, R.I. : American Mathematical Society Année de publication : 1999 Collection : Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 652 Importance : 89 p. ISBN/ISSN/EAN : 978-0-8218-0923-5 Langues : Anglais Catégories : 05-XX Combinatorics :05AXX Enumerative combinatorics:05A19 Combinatorial identities 11-XX Number theory:11PXX Additive number theory; partitions:11P81 Elementary theory of partitions 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B67 Kac-Moody algebras (structure and representation theory) Mots-clés : affine Lie algebras  vertex operators  Rogers-Ramanujan identities  standard modules  colored partitions of integers  combinatorial identities Index. décimale : Mem Annihilating fields of standard modules of sl (2,C) ˜ and combinatorial identities [texte imprimé] / Meurman, Arne, Auteur ; Mirko Primc, Auteur . - Providence, R.I. : American Mathematical Society, 1999 . - 89 p.. - (Memoirs of the American Mathematical Society, ISSN 0065-9266; 652) . ISBN : 978-0-8218-0923-5 Langues : Anglais Catégories : 05-XX Combinatorics :05AXX Enumerative combinatorics:05A19 Combinatorial identities 11-XX Number theory:11PXX Additive number theory; partitions:11P81 Elementary theory of partitions 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B67 Kac-Moody algebras (structure and representation theory) Mots-clés : affine Lie algebras  vertex operators  Rogers-Ramanujan identities  standard modules  colored partitions of integers  combinatorial identities Index. décimale : Mem

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
19398	Mem/652	imprimé / autre	CRDM	Mem/MEMOIRS AMS	Disponible

Bosonic construction of vertex operator para-algebras from symplectic affine Kac-Moody algebras / Michael David Weiner

Public ISBD Titre : Bosonic construction of vertex operator para-algebras from symplectic affine Kac-Moody algebras Type de document : texte imprimé Auteurs : Michael David Weiner, Auteur Editeur : Providence, R.I. : American Mathematical Society Année de publication : 1998 Collection : Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 644 Importance : 106 p. ISBN/ISSN/EAN : 978-0-8218-0866-5 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 :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 Mots-clés : para-algebras  affine Kac-Moody Lie algebras  vertex operator algebras  Virasoro algebra  intertwining operators Index. décimale : Mem Bosonic construction of vertex operator para-algebras from symplectic affine Kac-Moody algebras [texte imprimé] / Michael David Weiner, Auteur . - Providence, R.I. : American Mathematical Society, 1998 . - 106 p.. - (Memoirs of the American Mathematical Society, ISSN 0065-9266; 644) . ISBN : 978-0-8218-0866-5 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 :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 Mots-clés : para-algebras  affine Kac-Moody Lie algebras  vertex operator algebras  Virasoro algebra  intertwining operators Index. décimale : Mem

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
19418	Mem/644	imprimé / autre	CRDM	Mem/MEMOIRS AMS	Disponible

Calculus of principally twisted vertex operators / Figueiredo, Leila

Public ISBD Titre : Calculus of principally twisted vertex operators Type de document : texte imprimé Auteurs : Figueiredo, Leila Editeur : Providence, R.I. : American Mathematical Society Année de publication : 1987 Collection : Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 371 Importance : iv - 58 p. ISBN/ISSN/EAN : 978-0-8218-2434-4 Langues : Anglais 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 :17B20 Simple, semisimple, reductive (super)algebras (roots) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B67 Kac-Moody algebras (structure and representation theory) Mots-clés : kac-moody lie algebra  ${bbfz}$-algebras  cocycle  vertex operators  representation  affine lie algebras  principal realization Index. décimale : Mem Calculus of principally twisted vertex operators [texte imprimé] / Figueiredo, Leila . - Providence, R.I. : American Mathematical Society, 1987 . - iv - 58 p.. - (Memoirs of the American Mathematical Society, ISSN 0065-9266; 371) . ISBN : 978-0-8218-2434-4 Langues : Anglais 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 :17B20 Simple, semisimple, reductive (super)algebras (roots) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B67 Kac-Moody algebras (structure and representation theory) Mots-clés : kac-moody lie algebra  ${bbfz}$-algebras  cocycle  vertex operators  representation  affine lie algebras  principal realization Index. décimale : Mem

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
14824	Mem/371	imprimé / autre	CRDM	Mem/MEMOIRS AMS	Disponible

Extended affine Lie algebras and their root systems / Bruce N. Allison

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Extensions of the Jacobi identity for vertex operators, and standard A 1 (1) -modules / Cristiano Husu

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Formules de caractères pour les algèbres de Kac-Moody générales / Mathieu, Olivier

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Generalized vertex algebras and relative vertex operators / Dong, C.

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Groupes de Kac-Moody déployés et presque déployés / Bertrand Rémy

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Infinite dimensional lie algebras / Kac, Victor G.

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Kac-Moody groups, their flag varieties and representation theory / Kumar, Shrawan

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Lectures on representation theory Knizhnik-Zamolodchikov equations / Pavel Etingof

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Lie algebras of finite and affine type / Roger W. Carter

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Lie algebras with triangular decompositions / Robert V. Moody

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