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

Factorizable sheaves and quantum groups / Bezrukavnikov, Roman

Public ISBD Titre : Factorizable sheaves and quantum groups Type de document : texte imprimé Auteurs : Bezrukavnikov, Roman ; Schechtman, Vadim ; Finkelberg, Michael Editeur : Springer-Verlag Année de publication : 1998 Collection : Lecture Notes in Mathematics, ISSN 0075-8434 num. 1691 Importance : x - 287 p. ISBN/ISSN/EAN : 978-3-540-64619-8 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 :17B37 Quantum groups (quantized enveloping algebras) and related deformations 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R50 Quantum groups and related algebraic methods Mots-clés : configuration spaces  quantum groups  braided categories Index. décimale : LNM Factorizable sheaves and quantum groups [texte imprimé] / Bezrukavnikov, Roman ; Schechtman, Vadim ; Finkelberg, Michael . - [S.l.] : Springer-Verlag, 1998 . - x - 287 p.. - (Lecture Notes in Mathematics, ISSN 0075-8434; 1691) . ISBN : 978-3-540-64619-8 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 :17B37 Quantum groups (quantized enveloping algebras) and related deformations 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R50 Quantum groups and related algebraic methods Mots-clés : configuration spaces  quantum groups  braided categories Index. décimale : LNM

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
14149	LNM/1691	imprimé / autre	CRDM	LNM/LECTURES NOTES IN MATHEMATICS	Disponible
13247	LNM/1691	imprimé / autre	CRDM	LNM/LECTURES NOTES IN MATHEMATICS	Disponible
11804	LNM/1691	imprimé / autre	CRDM	LNM/LECTURES NOTES IN MATHEMATICS	Disponible

a Guide to quantum groups / Vyjayanthi Chari

Public ISBD Titre : a Guide to quantum groups Type de document : texte imprimé Auteurs : Vyjayanthi Chari ; Andrew Pressley Editeur : Cambridge : Cambridge University Press Année de publication : 1994 Importance : xv - 651 p. ISBN/ISSN/EAN : 978-0-521-43305-1 Langues : Anglais Catégories : 16-XX Associative rings and algebras :16WXX Rings and algebras with additional structure:16W30 Coalgebras, bialgebras, Hopf algebras ; rings, modules, etc. on which these act 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 :17B37 Quantum groups (quantized enveloping algebras) and related deformations 37-XX Dynamical systems and ergodic theory :37JXX Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems :37J35 Completely integrable systems, topological structure of phase space, integration methods 37-XX Dynamical systems and ergodic theory :37KXX Infinite-dimensional Hamiltonian systems :37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) 57-XX Manifolds and cell complexes :57MXX Low-dimensional topology:57M25 Knots and links in $S^3$ 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R50 Quantum groups and related algebraic methods Mots-clés : kauffman polynomial  homfly polynomia l  jones polynomial  crystal bases  canonical bases  quantizations of affine kac-moody algebras  yangians  infinite-dimensional quantum groups  representations  braid group  quantized function algebras  quantization of lie bialgebras  ribbon tangles  quantum yang-baxter equation  hopf algebras  conformal field theory  knizhnik-zamolodchikov equations  classical yang-baxter equation  poisson-lie groups  quantum groups  quantized universal enveloping algebras  monoidal categories  quasitriangular hopf algebras  lie bialgebras  integrable systems Index. décimale : 17C Monographie a Guide to quantum groups [texte imprimé] / Vyjayanthi Chari ; Andrew Pressley . - Cambridge : Cambridge University Press, 1994 . - xv - 651 p. ISBN : 978-0-521-43305-1 Langues : Anglais Catégories : 16-XX Associative rings and algebras :16WXX Rings and algebras with additional structure:16W30 Coalgebras, bialgebras, Hopf algebras ; rings, modules, etc. on which these act 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 :17B37 Quantum groups (quantized enveloping algebras) and related deformations 37-XX Dynamical systems and ergodic theory :37JXX Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems :37J35 Completely integrable systems, topological structure of phase space, integration methods 37-XX Dynamical systems and ergodic theory :37KXX Infinite-dimensional Hamiltonian systems :37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) 57-XX Manifolds and cell complexes :57MXX Low-dimensional topology:57M25 Knots and links in $S^3$ 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R50 Quantum groups and related algebraic methods Mots-clés : kauffman polynomial  homfly polynomia l  jones polynomial  crystal bases  canonical bases  quantizations of affine kac-moody algebras  yangians  infinite-dimensional quantum groups  representations  braid group  quantized function algebras  quantization of lie bialgebras  ribbon tangles  quantum yang-baxter equation  hopf algebras  conformal field theory  knizhnik-zamolodchikov equations  classical yang-baxter equation  poisson-lie groups  quantum groups  quantized universal enveloping algebras  monoidal categories  quasitriangular hopf algebras  lie bialgebras  integrable systems Index. décimale : 17C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
12230	17C27	imprimé / autre	CRDM	17/ANNEAUX ET ALGEBRES NON ASSOCIATIFS	Exclu du prêt
2426	17C27	imprimé / autre	CRDM	17/ANNEAUX ET ALGEBRES NON ASSOCIATIFS	Disponible
18286	17C27	imprimé / autre	CRDM	17/ANNEAUX ET ALGEBRES NON ASSOCIATIFS	Disponible

Knots and Feynman diagrams / Kreimer, Dirk

Public ISBD Titre : Knots and Feynman diagrams Type de document : texte imprimé Auteurs : Kreimer, Dirk Editeur : Cambridge : Cambridge University Press Année de publication : 2000 Collection : Cambridge Lecture Notes in Physics num. 13 Importance : xii, 259 ISBN/ISSN/EAN : 978-0-521-58761-7 Langues : Anglais Catégories : 11-XX Number theory:11MXX Zeta and $L$-functions: analytic theory:11M99 None of the above, but in this section 16-XX Associative rings and algebras :16WXX Rings and algebras with additional structure:16W30 Coalgebras, bialgebras, Hopf algebras ; rings, modules, etc. on which these act 57-XX Manifolds and cell complexes :57MXX Low-dimensional topology:57M25 Knots and links in $S^3$ 81-XX Quantum theory:81-02 Research exposition (monographs, survey articles) 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R50 Quantum groups and related algebraic methods 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R60 Noncommutative geometry 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T15 Perturbative methods of renormalization 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T18 Feynman diagrams 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T75 Noncommutative geometry methods Mots-clés : noncommutative geometry  number theory  perturbative quantum field theory Index. décimale : 81C Monographie Knots and Feynman diagrams [texte imprimé] / Kreimer, Dirk . - Cambridge : Cambridge University Press, 2000 . -  xii, 259. - (Cambridge Lecture Notes in Physics; 13) . ISBN : 978-0-521-58761-7 Langues : Anglais Catégories : 11-XX Number theory:11MXX Zeta and $L$-functions: analytic theory:11M99 None of the above, but in this section 16-XX Associative rings and algebras :16WXX Rings and algebras with additional structure:16W30 Coalgebras, bialgebras, Hopf algebras ; rings, modules, etc. on which these act 57-XX Manifolds and cell complexes :57MXX Low-dimensional topology:57M25 Knots and links in $S^3$ 81-XX Quantum theory:81-02 Research exposition (monographs, survey articles) 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R50 Quantum groups and related algebraic methods 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R60 Noncommutative geometry 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T15 Perturbative methods of renormalization 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T18 Feynman diagrams 81-XX Quantum theory:81TXX Quantum field theory; related classical field theories :81T75 Noncommutative geometry methods Mots-clés : noncommutative geometry  number theory  perturbative quantum field theory Index. décimale : 81C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
13239	81C198	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

Quantum calculus / Kac, Victor G.

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Quantum groups and non-commutative geometry / Yuri Ivanovich Manin

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Quantum groups and their primitive ideals / Joseph, A.

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