Infinite dimensional Lie algebras:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
1990
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 367 - 400 |
| Physical Description: | XXI, 400 S. |
| ISBN: | 0521372151 |
Staff View
MARC
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| 245 | 1 | 0 | |a Infinite dimensional Lie algebras |c Victor G. Kac |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 1990 | |
| 300 | |a XXI, 400 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 367 - 400 | ||
| 650 | 7 | |a Lie, algèbres de |2 ram | |
| 650 | 7 | |a Lie-algebra's |2 gtt | |
| 650 | 7 | |a Lie-groepen |2 gtt | |
| 650 | 7 | |a Oneindige dimensie |2 gtt | |
| 650 | 4 | |a Infinite dimensional Lie algebras | |
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Record in the Search Index
| _version_ | 1805082710377496576 |
|---|---|
| adam_text |
Contents
Introduction ix
Notational Conventions xx
Chapter 1. Basic Definitions 1
Chapter 2. The Invariant Bilinear Form and the Generalized
Casimir Operator 16
Chapter 3. Integrable Representations of Kac Moody Algebras
and the Weyl Group 30
Chapter 4. A Classification of Generalized Cartan Matrices 47
Chapter 5. Real and Imaginary Roots 59
Chapter 6. Affine Algebras: the Normalized Invariant
Form, the Root System, and the Weyl Group 79
Chapter 7. AfEne Algebras as Central Extensions of
Loop Algebras 96
Chapter 8. Twisted Affine Algebras and Finite Order Automorphisms 125
Chapter 9. Highest Weight Modules over Kac Moody Algebras 145
Chapter 10. Integrable Highest Weight Modules:
the Character Formula 171
Chapter 11. Integrable Highest Weight Modules:
the Weight System and the Unitarizability 190
Chapter 12. Integrable Highest Weight Modules over Affine
Algebras. Application to 77 Function Identities.
Sugawara Operators and Branching Functions 216
Chapter 13. Affine Algebras, Theta Functions, and Modular Forms 248
Chapter 14. The Principal and Homogeneous Vertex Operator
Constructions of the Basic Representation. Boson Fermion
Correspondence. Application to Soliton Equations 292
Index of Notations and Definitions 353
References 367
Conference Proceedings and Collections of Papers 399
vii |
| any_adam_object | 1 |
| author | Kac, Victor G. 1943- |
| author_GND | (DE-588)110066820 |
| author_facet | Kac, Victor G. 1943- |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 340 SK 600 |
| classification_tum | MAT 173f |
| ctrlnum | (OCoLC)889050405 (DE-599)BVBBV004252877 |
| dewey-full | 512.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.55 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV004252877 |
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| indexdate | 2024-07-20T07:36:59Z |
| institution | BVB |
| isbn | 0521372151 |
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| physical | XXI, 400 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Kac, Victor G. 1943- Verfasser (DE-588)110066820 aut Infinite dimensional Lie algebras Victor G. Kac 3. ed. Cambridge [u.a.] Cambridge Univ. Press 1990 XXI, 400 S. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 367 - 400 Lie, algèbres de ram Lie-algebra's gtt Lie-groepen gtt Oneindige dimensie gtt Infinite dimensional Lie algebras Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 s DE-604 Lie-Algebra (DE-588)4130355-6 s 2\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002645549&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kac, Victor G. 1943- Infinite dimensional Lie algebras Lie, algèbres de ram Lie-algebra's gtt Lie-groepen gtt Oneindige dimensie gtt Infinite dimensional Lie algebras 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 (DE-588)1071861417 |
| title | Infinite dimensional Lie algebras |
| title_auth | Infinite dimensional Lie algebras |
| title_exact_search | Infinite dimensional Lie algebras |
| title_full | Infinite dimensional Lie algebras Victor G. Kac |
| title_fullStr | Infinite dimensional Lie algebras Victor G. Kac |
| title_full_unstemmed | Infinite dimensional Lie algebras Victor G. Kac |
| title_short | Infinite dimensional Lie algebras |
| title_sort | infinite dimensional lie algebras |
| topic | Lie, algèbres de ram Lie-algebra's gtt Lie-groepen gtt Oneindige dimensie gtt Infinite dimensional Lie algebras Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| topic_facet | Lie, algèbres de Lie-algebra's Lie-groepen Oneindige dimensie Infinite dimensional Lie algebras Unendlichdimensionale Lie-Algebra Lie-Algebra Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002645549&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kacvictorg infinitedimensionalliealgebras |