Lectures on infinite dimensional Lie algebra:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey u.a.
World Scientific
2001
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 444 S. |
| ISBN: | 9810241283 9810241291 |
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MARC
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| 264 | 1 | |a New Jersey u.a. |b World Scientific |c 2001 | |
| 300 | |a X, 444 S. | ||
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Record in the Search Index
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| adam_text | Contents
Preface vii
1 Preliminaries on Affine Lie Algebras 1
1.1 Affine Lie Algebras 1
1.2 Extended Affine Weyl Group 18
1.3 Some Formulas for Finite Dimensional Simple Lie Algebras 25
2 Characters of Integrable Representations 31
2.1 Weyl Kac Character Formula 31
2.2 Specialized Characters 42
2.3 Product Expression of Characters 49
2.4 Modular Transformation 58
3 Principal Admissible Weights 75
3.1 Admissible Weights 76
3.2 Principal Admissible Weights 83
3.2.1 Prinicipal Admissible Weights with nA = 5(u) ... 83
3.2.2 Principal Admissible Weights with IIa = y(S(u)) . . 89
3.3 Characters of Principal Admissible Representations ... 95
3.4 Parametrization of Principal Admissible Weights .... 100
3.5 Modular Transformation 108
4 Residue of Principal Admissible Characters 113
4.1 Non Degenerate Principal Admissible Weights 113
4.2 Modular Transformation of Residue 118
4.3 Fusion Coefficients 128
4.3.1 The Case gcd(p p , J ) = 1 131
4.3.2 The Case gcd(p ,|J|) = 1 134
4.3.3 General Case 143
5 Characters of Affine Orbifolds 153
5.1 Characters of Finite Groups 154
5.2 Fusion Datum 162
5.3 Characters of Affine Orbifolds 168
ix
x Contents
6 Operator Calculus 175
6.1 Operator Products 175
6.2 Boson Fermion Correspondence 230
7 Branching Functions 239
7.1 Virasoro Modules 239
7.2 Virasoro Modules of Central Charge ^ 254
7.3 Branching Functions 263
7.4 Tensor Product Decomposition 272
8 W algebra 287
8.1 Free Fermionic Fields ip(z) and ip*(z) 287
8.2 Free Fermionic Fields 4 {z) and j *(z) 291
8.3 Ghost Field Associated to a Simple Lie Algebra 294
8.4 BRST Complex 297
8.5 Euler Poincare Characteristics 301
9 Vertex Representations for Affine Lie Algebras 321
9.1 Simple Examples of Vertex Operators 321
9.1.1 The Space Cfo;jeN] 322
9.1.2 The Space C[xj;j € Nodd] 327
9.2 Basic Representations of sl(2,C) 336
9.2.1 Homogeneous Picture 336
9.2.2 Principal Picture 345
9.3 Construction of Basic Representation 351
9.3.1 Homogeneous Picture 352
9.3.2 Principal Picture 366
10 Soliton Equations 385
10.1 Hirota Bilinear Differential Operators 385
10.2 KdV Equation and Hirota Bilinear Differential Equations . 387
10.3 Hirota Equations Associated to the Basic Representation . 392
10.3.1 Homogeneous Case 394
10.3.2 Principal Picture 404
10.4 Non Linear Schrodinger Equations 414
Bibliography 429
Index 441
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| indexdate | 2024-07-09T18:45:08Z |
| institution | BVB |
| isbn | 9810241283 9810241291 |
| language | English |
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| physical | X, 444 S. |
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| publisher | World Scientific |
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| spelling | Wakimoto, Minoru Verfasser aut Lectures on infinite dimensional Lie algebra Minoru Wakimoto infinite-dimensional New Jersey u.a. World Scientific 2001 X, 444 S. txt rdacontent n rdamedia nc rdacarrier Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s DE-604 Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009139955&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wakimoto, Minoru Lectures on infinite dimensional Lie algebra Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| subject_GND | (DE-588)4434344-9 (DE-588)4130355-6 |
| title | Lectures on infinite dimensional Lie algebra |
| title_alt | infinite-dimensional |
| title_auth | Lectures on infinite dimensional Lie algebra |
| title_exact_search | Lectures on infinite dimensional Lie algebra |
| title_full | Lectures on infinite dimensional Lie algebra Minoru Wakimoto |
| title_fullStr | Lectures on infinite dimensional Lie algebra Minoru Wakimoto |
| title_full_unstemmed | Lectures on infinite dimensional Lie algebra Minoru Wakimoto |
| title_short | Lectures on infinite dimensional Lie algebra |
| title_sort | lectures on infinite dimensional lie algebra |
| topic | Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| topic_facet | Unendlichdimensionale Lie-Algebra Lie-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009139955&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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