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

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

Elliptic genera and vertex operator super-algebras. / Tamanoi, Hirotaka

Public ISBD Titre : Elliptic genera and vertex operator super-algebras. Type de document : texte imprimé Auteurs : Tamanoi, Hirotaka Editeur : Springer-Verlag Année de publication : 1999 Collection : Lecture Notes in Mathematics, ISSN 0075-8434 num. 1704 Importance : vi - 390 p. ISBN/ISSN/EAN : 978-3-540-66006-4 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 :17B69 Vertex operators; vertex operator algebras and related structures 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 : complex differential geometry  virasoro and related algebras  algebras from quantum theory  vertex operators Index. décimale : LNM Elliptic genera and vertex operator super-algebras. [texte imprimé] / Tamanoi, Hirotaka . - [S.l.] : Springer-Verlag, 1999 . - vi - 390 p. . - (Lecture Notes in Mathematics, ISSN 0075-8434; 1704) . ISBN : 978-3-540-66006-4 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 :17B69 Vertex operators; vertex operator algebras and related structures 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 : complex differential geometry  virasoro and related algebras  algebras from quantum theory  vertex operators Index. décimale : LNM

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
14076	LNM/1704	imprimé / autre	CRDM	LNM/LECTURES NOTES IN MATHEMATICS	Disponible

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

Public ISBD Titre : Extensions of the Jacobi identity for vertex operators, and standard A 1 (1) -modules Type de document : texte imprimé Auteurs : Cristiano Husu, Auteur Editeur : Providence, R.I. : American Mathematical Society Année de publication : 1993 Collection : Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 507 ISBN/ISSN/EAN : 978-0-8218-2571-6 Langues : Anglais Catégories : 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 :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 : vertex operator representations  affine Lie algebras  vertex operator algebra  Jacobi identity Index. décimale : Mem Extensions of the Jacobi identity for vertex operators, and standard A 1 (1) -modules [texte imprimé] / Cristiano Husu, Auteur . - Providence, R.I. : American Mathematical Society, 1993. - (Memoirs of the American Mathematical Society, ISSN 0065-9266; 507) . ISBN : 978-0-8218-2571-6 Langues : Anglais Catégories : 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 :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 : vertex operator representations  affine Lie algebras  vertex operator algebra  Jacobi identity Index. décimale : Mem

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
19505	Mem/507	imprimé / autre	CRDM	Mem/MEMOIRS AMS	Disponible

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

Public ISBD Titre : Generalized vertex algebras and relative vertex operators Type de document : texte imprimé Auteurs : Dong, C. ; Oesterlé, J. ; Lepowsky, J. ; Weinstein, A., Editeur scientifique Editeur : Birkhäuser Verlag Année de publication : 1993 Collection : Progress in Mathematics num. 112 Importance : ix - 199 p. ISBN/ISSN/EAN : 978-0-8176-3721-7 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 :17B10 Representations, algebraic theory (weights) 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 :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 : parafermion algebras  $z$-algebras  affine lie algebras  intertwining operators  vertex algebra  abelian intertwining algebra  generalized vertex algebra  generalized vertex operator algebra  vertex operator algebra  higher-level standard modules  integrable highest weight modules  representations  vertex operators Index. décimale : 17C Monographie Generalized vertex algebras and relative vertex operators [texte imprimé] / Dong, C. ; Oesterlé, J. ; Lepowsky, J. ; Weinstein, A., Editeur scientifique . - [S.l.] : Birkhäuser Verlag, 1993 . - ix - 199 p.. - (Progress in Mathematics; 112) . ISBN : 978-0-8176-3721-7 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 :17B10 Representations, algebraic theory (weights) 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 :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 : parafermion algebras  $z$-algebras  affine lie algebras  intertwining operators  vertex algebra  abelian intertwining algebra  generalized vertex algebra  generalized vertex operator algebra  vertex operator algebra  higher-level standard modules  integrable highest weight modules  representations  vertex operators Index. décimale : 17C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
3167	17C22	imprimé / autre	CRDM	17/ANNEAUX ET ALGEBRES NON ASSOCIATIFS	Disponible

Moonshine beyond the monster / Terry Gannon

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

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Vertex algebras and algebraic curves / Frenkel, Edward

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