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

Gaussian free field and conformal field theory / Nam-Gyu Kang

Public ISBD Titre : Gaussian free field and conformal field theory Type de document : texte imprimé Auteurs : Nam-Gyu Kang, Auteur ; Nikolai G. Makarov, Auteur Editeur : Paris : Société Mathématiques de France Année de publication : 2013 Collection : Astérisque, ISSN 0303-1179 num. 353 Importance : viii - 136 p. ISBN/ISSN/EAN : 978-2-85629-369-0 Langues : Anglais Catégories : 30-XX Functions of a complex variable :30CXX Geometric function theory:30C35 General theory of conformal mappings 60-XX Probability theory and stochastic processes :60JXX Markov processes 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T40 Two-dimensional field theories, conformal field theories, etc. Mots-clés : Conformal field theory, Schramm-Loewner Evolution Index. décimale : AST Gaussian free field and conformal field theory [texte imprimé] / Nam-Gyu Kang, Auteur ; Nikolai G. Makarov, Auteur . - Paris : Société Mathématiques de France, 2013 . - viii - 136 p.. - (Astérisque, ISSN 0303-1179; 353) . ISBN : 978-2-85629-369-0 Langues : Anglais Catégories : 30-XX Functions of a complex variable :30CXX Geometric function theory:30C35 General theory of conformal mappings 60-XX Probability theory and stochastic processes :60JXX Markov processes 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T40 Two-dimensional field theories, conformal field theories, etc. Mots-clés : Conformal field theory, Schramm-Loewner Evolution Index. décimale : AST

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
21182	AST/353	imprimé / autre	CRDM	AST/ASTÉRISQUE	Disponible

Lectures on representation theory Knizhnik-Zamolodchikov equations / Pavel Etingof

Public ISBD Titre : Lectures on representation theory Knizhnik-Zamolodchikov equations Type de document : texte imprimé Auteurs : Pavel Etingof ; 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 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] / Pavel Etingof ; Kirillov, Alexander Jr. ; Frenkel, Igor B. . - Providence, R.I. : American Mathematical Society, 1998 . - xiv - 198 p.. - (Mathematical Surveys and Monographs; 58) . ISBN : 978-0-8218-0496-4 Langues : Anglais 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

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
11649	81C144	imprimé / autre	CRDM	81/MECANIQUE QUANTIQUE	Disponible
12231	81C144	imprimé / autre	CRDM	81/MECANIQUE QUANTIQUE	Disponible

Lectures on tensor categories and modular functors / Bakalov, Bojko

Public ISBD Titre : Lectures on tensor categories and modular functors Type de document : texte imprimé Auteurs : Bakalov, Bojko ; Kirillov, Alexander Jr. Editeur : Providence, R.I. : American Mathematical Society Année de publication : 2001 Collection : University Lecture Series num. 21 Importance : x - 221 p. ISBN/ISSN/EAN : 978-0-8218-2686-7 Langues : Anglais Catégories : 18-XX Category theory; homological algebra :18-02 Research exposition (monographs, survey articles) 18-XX Category theory; homological algebra :18DXX Categories with structure:18D10 Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories 57-XX Manifolds and cell complexes :57-02 Research exposition (monographs, survey articles) 57-XX Manifolds and cell complexes :57MXX Low-dimensional topology:57M27 Invariants of knots and 3-manifolds 57-XX Manifolds and cell complexes :57RXX Differential topology :57R56 Topological quantum field theories 81-XX Quantum theory:81-02 Research exposition (monographs, survey articles) 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. 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T45 Topological field theories Mots-clés : teichmuller theory  quantum groups  tensor categories  topological quantum field theory  d-modules  moduli spaces of curves  modular categories and functors  invariants of three-manifolds  three-dimensional quantum field theory  ribbon categories Index. décimale : 18C Monographie Lectures on tensor categories and modular functors [texte imprimé] / Bakalov, Bojko ; Kirillov, Alexander Jr. . - Providence, R.I. : American Mathematical Society, 2001 . - x - 221 p.. - (University Lecture Series; 21) . ISBN : 978-0-8218-2686-7 Langues : Anglais Catégories : 18-XX Category theory; homological algebra :18-02 Research exposition (monographs, survey articles) 18-XX Category theory; homological algebra :18DXX Categories with structure:18D10 Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories 57-XX Manifolds and cell complexes :57-02 Research exposition (monographs, survey articles) 57-XX Manifolds and cell complexes :57MXX Low-dimensional topology:57M27 Invariants of knots and 3-manifolds 57-XX Manifolds and cell complexes :57RXX Differential topology :57R56 Topological quantum field theories 81-XX Quantum theory:81-02 Research exposition (monographs, survey articles) 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. 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T45 Topological field theories Mots-clés : teichmuller theory  quantum groups  tensor categories  topological quantum field theory  d-modules  moduli spaces of curves  modular categories and functors  invariants of three-manifolds  three-dimensional quantum field theory  ribbon categories Index. décimale : 18C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
14626	18C44	imprimé / autre	CRDM	18/THEORIE DES CATEGORIES, ALGEBRE HOMOLOGIQUE	Disponible
13891	18C44	imprimé / autre	CRDM	18/THEORIE DES CATEGORIES, ALGEBRE HOMOLOGIQUE	Disponible

Low dimensional sigma models / W. J. Zakrzewski

Public ISBD Titre : Low dimensional sigma models Type de document : texte imprimé Auteurs : W. J. Zakrzewski Editeur : Adam Hilger, Ltd. Année de publication : 1989 Importance : xiii - 289 p. ISBN/ISSN/EAN : 978-0-85274-231-0 Langues : Anglais Catégories : 53-XX Differential geometry :53Z05 Applications to physics 58-XX Global analysis, analysis on manifolds :58EXX Variational problems in infinite-dimensional spaces:58E20 Harmonic maps , etc. 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T40 Two-dimensional field theories, conformal field theories, etc. Mots-clés : wess-zumino term  skyrme-model  harmonic maps  quantum field theory  quantum mechanics Index. décimale : 53C Monographie Low dimensional sigma models [texte imprimé] / W. J. Zakrzewski . - [S.l.] : Adam Hilger, Ltd., 1989 . - xiii - 289 p. ISBN : 978-0-85274-231-0 Langues : Anglais Catégories : 53-XX Differential geometry :53Z05 Applications to physics 58-XX Global analysis, analysis on manifolds :58EXX Variational problems in infinite-dimensional spaces:58E20 Harmonic maps , etc. 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T40 Two-dimensional field theories, conformal field theories, etc. Mots-clés : wess-zumino term  skyrme-model  harmonic maps  quantum field theory  quantum mechanics Index. décimale : 53C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
11992	53C243	imprimé / autre	CRDM	53/GEOMETRIE DIFFERENTIELLE	Disponible

Mirror symmetry and algebraic geometry / Cox, David A.

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Moonshine beyond the monster / Terry Gannon

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Pseudo limits, biadjoints, and pseudo algebras: categorical foundations of conformal field theory / Thomas M. Fiore

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Quantum topology and global anomalies / Randy A. Baadhio

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