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

Diagram techniques in group theory / Stedman, G.

Public ISBD Titre : Diagram techniques in group theory Type de document : texte imprimé Auteurs : Stedman, G. Editeur : Cambridge : Cambridge University Press Année de publication : 1990 Importance : xii - 308 p. ISBN/ISSN/EAN : 978-0-521-32787-9 Langues : Anglais Catégories : 20-XX Group theory and generalizations:20-01 Instructional exposition (textbooks, tutorial papers, etc.) 20-XX Group theory and generalizations:20CXX Representation theory of groups :20C35 Applications of group representations to physics 22-XX Topological groups, Lie groups :22EXX Lie groups :22E70 Applications of Lie groups to physics; explicit representations 81-XX Quantum theory:81QXX General mathematical topics and methods in quantum theory:81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry 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:81SXX General quantum mechanics and problems of quantization:81S40 Path integrals 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T08 Constructive quantum field theory Mots-clés : casimir operators  killing form  jacobi identities  lie algebras  lie groups  diagrammatic representation  phase groups  wigner-eckart theorem  nj symbols  clebsch-gordan coefficients  exercises  quantum mechanics  field theoretic diagrams  feynman diagrams Index. décimale : 20C Monographie Diagram techniques in group theory [texte imprimé] / Stedman, G. . - Cambridge : Cambridge University Press, 1990 . - xii - 308 p. ISBN : 978-0-521-32787-9 Langues : Anglais Catégories : 20-XX Group theory and generalizations:20-01 Instructional exposition (textbooks, tutorial papers, etc.) 20-XX Group theory and generalizations:20CXX Representation theory of groups :20C35 Applications of group representations to physics 22-XX Topological groups, Lie groups :22EXX Lie groups :22E70 Applications of Lie groups to physics; explicit representations 81-XX Quantum theory:81QXX General mathematical topics and methods in quantum theory:81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry 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:81SXX General quantum mechanics and problems of quantization:81S40 Path integrals 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T08 Constructive quantum field theory Mots-clés : casimir operators  killing form  jacobi identities  lie algebras  lie groups  diagrammatic representation  phase groups  wigner-eckart theorem  nj symbols  clebsch-gordan coefficients  exercises  quantum mechanics  field theoretic diagrams  feynman diagrams Index. décimale : 20C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
11111	20C238	imprimé / autre	CRDM	20/THEORIE DES GROUPES GENERALISATIONS	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

Études sur la mécanique quantique / Harthong, Jacques

Public ISBD Titre : Études sur la mécanique quantique Type de document : texte imprimé Auteurs : Harthong, Jacques Editeur : Paris : Société Mathématiques de France Année de publication : 1984 Collection : Astérisque, ISSN 0303-1179 num. 111 Importance : 209 p. Langues : Français Catégories : 03-XX Mathematical logic and foundations:03HXX Nonstandard models :03H10 Other applications of nonstandard models (economics, physics, etc.) 35-XX Partial differential equations:35-02 Research exposition (monographs, survey articles) 81-XX Quantum theory:81-01 Instructional exposition (textbooks, tutorial papers, etc.) 81-XX Quantum theory:81PXX Axiomatics, foundations, philosophy:81P05 General and philosophical 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 : nonstandard analysis  quasiclassical limit Index. décimale : AST Études sur la mécanique quantique [texte imprimé] / Harthong, Jacques . - Paris : Société Mathématiques de France, 1984 . - 209 p. . - (Astérisque, ISSN 0303-1179; 111) . Langues : Français Catégories : 03-XX Mathematical logic and foundations:03HXX Nonstandard models :03H10 Other applications of nonstandard models (economics, physics, etc.) 35-XX Partial differential equations:35-02 Research exposition (monographs, survey articles) 81-XX Quantum theory:81-01 Instructional exposition (textbooks, tutorial papers, etc.) 81-XX Quantum theory:81PXX Axiomatics, foundations, philosophy:81P05 General and philosophical 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 : nonstandard analysis  quasiclassical limit Index. décimale : AST

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
14481	AST/111	imprimé / autre	CRDM	AST/ASTÉRISQUE	Disponible

Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups / V. Tarasov

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Lectures on tensor categories and modular functors / Bakalov, Bojko

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Lie groups and algebras with applications to physics, geometry, and mechanics / Sattinger, David H.

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Spinor construction of vertex operator algebras, triality, and E8 1 / Feingold, Alex J.

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The Racah-Wigner algebra in quantum theory / L. C. Biedenharn

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The Schrödinger-Virasoro algebra / Jérémie Unterberger

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Unitary group representations in physics, probability, and number theory / George W. Mackey

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Vertex algebras and algebraic curves / Frenkel, Edward

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