Affine Lie algebras and quantum groups: an introduction, with applications in conformal field theory
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
1995
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| Edition: | 1. paperback ed. (with corr.) |
| Series: | Cambridge monographs on mathematical physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 433 S. |
| ISBN: | 0521415934 9780521484121 |
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Record in the Search Index
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| adam_text | AFFINE LIE ALGEBRAS AND QUANTUM GROUPS AN INTRODUCTION, WITH
APPLICATIONS IN CONFORMAL FIELD THEORY JURGEN FUCHS NIKHEF, AMSTERDAM,
THE NETHERLANDS CERN, GENEVA, SWITZERLAND I CAMBRIDGE UNIVERSITY PRESS
CONTENTS PREFACE XI 1 SEMISIMPLE LIE ALGEBRAS 1 1.1 BASIC CONCEPTS 2 1.2
REPRESENTATIONS AND MODULES 11 1.3 THE KILLING FORM. REAL AND COMPLEX
LIE ALGEBRAS 19 1.4 THE CARTAN-WEYL BASIS 23 1.5 CLASSIFICATION OF
SIMPLE LIE ALGEBRAS 38 1.6 HIGHEST WEIGHT MODULES 49 1.7 THE WEYL GROUP.
CHARACTERS 70 1.8 ~ BRANCHING RULES 81 1.9 LITERATURE 87 2 AFFINE LIE
ALGEBRAS 89 2.1 CLASSIFICATION OF KAC-MOODY ALGEBRAS 90 2.2 LOOP
ALGEBRAS AND CENTRAL EXTENSIONS 100 2.3 THE ROOT SYSTEM 108 2.4 HIGHEST
WEIGHT MODULES 116 2.5 NULL VECTORS 125 2.6 THE WEYL GROUP. CHARACTERS
130 2.7 MODULAR TRANSFORMATIONS 137 2.8 BRANCHING RULES 143 2.9
LITERATURE 147 3 WZW THEORIES 149 3.1 OPERATOR PRODUCTS 150 3.2 THE
SUGAWARA CONSTRUCTION 159 3.3 CONFORMAL FIELD THEORY 167 3.4 THE
KNIZHNIK-ZAMPLODCHIKOV EQUATION 179 3.5 THE GEPNER-WITTEN EQUATION 192
3.6 FREE FERMIONS 203 3.7 QUANTUM EQUIVALENCE 214 IX X CONTENTS 3.8
CONFORMAL EMBEDDINGS 226 3.9 LITERATURE 238 4 QUANTUM GROUPS 242 4.1
HOPF ALGEBRAS 243 4.2 DEFORMATIONS OF ENVELOPING ALGEBRAS 257 4.3
REPRESENTATION THEORY 267 4.4 QUANTUM DIMENSIONS 278 4.5 THE TRUNCATED
KRONECKER PRODUCT 289 4.6 R-MATRICES 297 4.7 QUANTIZED GROUPS 305 4.8
AFFINE LIE ALGEBRAS AND QUANTUM GROUPS 313 4.9 LITERATURE 319 5 DUALITY,
FUSION RULES, AND MODULAR INVARIANCE 322 5.1 FUSION RULE ALGEBRAS 323
5.2- MODULAR INVARIANCE 331 5.3 FUSION RULES AND MODULAR TRANSFORMATIONS
339 5.4 MODULAR INVARIANTS 347 5.5 WZW FUSION RULES AND TRUNCATED TENSOR
PRODUCTS 354 5.6 CHIRAL BLOCKS 367 5.7 FUSING AND BRAIDING 373 5.8
SCREENED VERTEX OPERATORS AND QUANTUM GROUPS 384 5.9 LITERATURE 402
REFERENCES 405 INDEX 428
|
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| discipline | Physik Mathematik |
| edition | 1. paperback ed. (with corr.) |
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| indexdate | 2024-07-09T18:12:18Z |
| institution | BVB |
| isbn | 0521415934 9780521484121 |
| language | English |
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| physical | XIV, 433 S. |
| publishDate | 1995 |
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| publisher | Cambridge Univ. Press |
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| series2 | Cambridge monographs on mathematical physics |
| spelling | Fuchs, Jürgen Verfasser aut Affine Lie algebras and quantum groups an introduction, with applications in conformal field theory Jürgen Fuchs 1. paperback ed. (with corr.) Cambridge [u.a.] Cambridge Univ. Press 1995 XIV, 433 S. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mathematical physics Champs, Théorie quantique des Groupes quantiques Invariants conformes Lie, Algèbres de Physique mathématique Mathematische Physik Conformal invariants Lie algebras Mathematical physics Quantum field theory Quantum groups Affine Lie-Algebra (DE-588)4141571-1 gnd rswk-swf Quantengruppe (DE-588)4252437-4 gnd rswk-swf Affine Lie-Algebra (DE-588)4141571-1 s Quantengruppe (DE-588)4252437-4 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007803535&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fuchs, Jürgen Affine Lie algebras and quantum groups an introduction, with applications in conformal field theory Champs, Théorie quantique des Groupes quantiques Invariants conformes Lie, Algèbres de Physique mathématique Mathematische Physik Conformal invariants Lie algebras Mathematical physics Quantum field theory Quantum groups Affine Lie-Algebra (DE-588)4141571-1 gnd Quantengruppe (DE-588)4252437-4 gnd |
| subject_GND | (DE-588)4141571-1 (DE-588)4252437-4 |
| title | Affine Lie algebras and quantum groups an introduction, with applications in conformal field theory |
| title_auth | Affine Lie algebras and quantum groups an introduction, with applications in conformal field theory |
| title_exact_search | Affine Lie algebras and quantum groups an introduction, with applications in conformal field theory |
| title_full | Affine Lie algebras and quantum groups an introduction, with applications in conformal field theory Jürgen Fuchs |
| title_fullStr | Affine Lie algebras and quantum groups an introduction, with applications in conformal field theory Jürgen Fuchs |
| title_full_unstemmed | Affine Lie algebras and quantum groups an introduction, with applications in conformal field theory Jürgen Fuchs |
| title_short | Affine Lie algebras and quantum groups |
| title_sort | affine lie algebras and quantum groups an introduction with applications in conformal field theory |
| title_sub | an introduction, with applications in conformal field theory |
| topic | Champs, Théorie quantique des Groupes quantiques Invariants conformes Lie, Algèbres de Physique mathématique Mathematische Physik Conformal invariants Lie algebras Mathematical physics Quantum field theory Quantum groups Affine Lie-Algebra (DE-588)4141571-1 gnd Quantengruppe (DE-588)4252437-4 gnd |
| topic_facet | Champs, Théorie quantique des Groupes quantiques Invariants conformes Lie, Algèbres de Physique mathématique Mathematische Physik Conformal invariants Lie algebras Mathematical physics Quantum field theory Quantum groups Affine Lie-Algebra Quantengruppe |
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