8 résultat(s) recherche sur le mot-clé 'affine Lie algebras'

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

Current algebras and groups / Mickelsson, Jouko

Public ISBD Titre : Current algebras and groups Type de document : texte imprimé Auteurs : Mickelsson, Jouko Mention d'édition : 1 Editeur : New York London : Plenum Press Année de publication : 1989 Collection : Plenum monographs on nonlinear physics Importance : xvii - 313 p. ISBN/ISSN/EAN : 978-0-306-43363-4 Langues : Anglais Catégories : 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B65 Infinite-dimensional Lie (super)algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B66 Lie algebras of vector fields and related (super) algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B81 Applications to physics 22-XX Topological groups, Lie groups :22-02 Research exposition (monographs, survey articles) 22-XX Topological groups, Lie groups :22EXX Lie groups :22E65 Infinite-dimensional Lie groups and their Lie algebras 22-XX Topological groups, Lie groups :22EXX Lie groups :22E70 Applications of Lie groups to physics; explicit representations 58-XX Global analysis, analysis on manifolds :58BXX Infinite-dimensional manifolds:58B25 Group structures and generalizations on infinite-dimensional manifolds 58-XX Global analysis, analysis on manifolds :58DXX Spaces and manifolds of mappings (including nonlinear versions of 46Exx) :58D05 Groups of diffeomorphisms and homeomorphisms as manifolds 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 : gauge field  wave functions  fock spaces  quantized wzw model  vacuum vectors  string theory  boson-fermion correspondence  exterior algebra  symmetric algebra  holomorphic line bundle  moduli space of connections  dirac determinant bundle  semisimple lie algebras  virasoro algebra  affine lie algebras  central extensions  symplectic manifolds  general linear group  current groups  lie algebras  infinite-dimensional lie groups  diffeomorphisms  smooth manifold  current algebras Index. décimale : 22C Monographie Current algebras and groups [texte imprimé] / Mickelsson, Jouko  . -  1 . - New York London : Plenum Press, 1989 . - xvii - 313 p.. - (Plenum monographs on nonlinear physics) . ISBN : 978-0-306-43363-4 Langues : Anglais Catégories : 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B65 Infinite-dimensional Lie (super)algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B66 Lie algebras of vector fields and related (super) algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B81 Applications to physics 22-XX Topological groups, Lie groups :22-02 Research exposition (monographs, survey articles) 22-XX Topological groups, Lie groups :22EXX Lie groups :22E65 Infinite-dimensional Lie groups and their Lie algebras 22-XX Topological groups, Lie groups :22EXX Lie groups :22E70 Applications of Lie groups to physics; explicit representations 58-XX Global analysis, analysis on manifolds :58BXX Infinite-dimensional manifolds:58B25 Group structures and generalizations on infinite-dimensional manifolds 58-XX Global analysis, analysis on manifolds :58DXX Spaces and manifolds of mappings (including nonlinear versions of 46Exx) :58D05 Groups of diffeomorphisms and homeomorphisms as manifolds 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 : gauge field  wave functions  fock spaces  quantized wzw model  vacuum vectors  string theory  boson-fermion correspondence  exterior algebra  symmetric algebra  holomorphic line bundle  moduli space of connections  dirac determinant bundle  semisimple lie algebras  virasoro algebra  affine lie algebras  central extensions  symplectic manifolds  general linear group  current groups  lie algebras  infinite-dimensional lie groups  diffeomorphisms  smooth manifold  current algebras Index. décimale : 22C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
1620	22C136	imprimé / autre	CRDM	22/GROUPES TOPOLOGIQUES ET GROUPES DE LIE	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

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

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

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

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Conformal field theory / Di Francesco, Philippe

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Nonabelian Jacobian of projective surfaces / Igor Reider

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