Lectures on Kac-Moody algebras: proceedings seminar 1986 - 1987
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Centrum voor Wiskunde en Informatica
1992
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| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam>: CWI syllabus
30 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 97 S. |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | CWI SYLLABUS 30 PROCEEDINGS SEMINAR 1986-1987 LECTURES ON KAC-MOODY
ALGEBRAS M.J. BERGVELT, A.P.E. TEN KROODE AM CENTRUM VOOR WISKUNDE EN
INFONNATICA CENTRE FOR MATHEMATICS AND COMPUTER SCIENCE TABLE OF
CONTENTS INTRODUCTION CHAPTER 1 SIMPLE LIE ALGEBRAS 1.0 INTRODUCTION 1
1.1 SIMPLE LIE ALGEBRAS, DEFINITIONS * 1 1.2 SIMPLE LIE ALGEBRAS,
EXAMPLES 2 1.3 THE KILLING FORM 3 1.4 CARTAN SUBALGEBRAS 4 1.5 ROOTS AND
ROOT SPACES 5 1.6 ROOTS AND ROOT SPACES FOR A/ 6 1.7 FURTHER PROPERTIES
OF ROOTS AND ROOT SPACES 7 1.8 SIMPLE ROOTS 9 1.9 GENERATORS AND
RELATIONS 10 CHAPTER 2 AFFINE LIE ALGEBRAS [KAC] 2.0 INTRODUCTION 12 2.1
LOOP GROUPS 12 2.2 LOOP ALGEBRAS 13 2.3 DIFF S 1 AND G O X DIFF S 1 14
2.4 THE LIE ALGEBRAS 6 AND | 8 16 2.5 CENTRAL EXTENSIONS OF GROUPS 17
2.6 CENTRAL EXTENSIONS OF LIE ALGEBRAS 19 2.7 H2(G, 2.8 H2(G,C) FOR G
SIMPLE 24 2.9 A CENTRAL EXTENSION OF | 8 26 2.10 INVARIANT BILINEAR
FORMS 27 2.11 THE VIRASORO ALGEBRA 31 2.12 THE VIRASORO EXTENSION OF
AFFINE ALGEBRAS 33 CHAPTER 3 STRUCTURE OF AFFINE ALGEBRAS 3.1 ROOT SPACE
DECOMPOSITION OF G* 35 3.2 GENERATORS FOR G 37 3.3 TRIANGULAR
DECOMPOSITION OF G AND G^ 40 3.4 CARTAN MATRIX AND DEFINING RELATIONS
FOR G^ 41 3.5 INVOLUTIONS ON ^ 44 CHAPTER 4 REPRESENTATION THEORY 4.0
INTRODUCTION 46 4.1 REPRESENTATIONS AND MODULES 46 4.2 REDUCIBLE AND
IRREDUCIBLE MODULES 47 4.3 INTCGRABLE REPRESENTATIONS 48 4.4 HIGHEST AND
LOWEST WEIGHT MODULES 50 4.5 THE CONTRAVARIANT HERMITIAN FORM 54 CHAPTER
5 THE BASIC REPRESENTATION L(AQ) 5.0 INTRODUCTION 57 5.1 THE HOMOGENEOUS
HCISENBERG SUBALGEBRA 57 5.2 THECENTRALIZERSOFS* 59 5.3 THE STRUCTURE OF
Q(AQ) 63 5.4 VERTEX OPERATORS 65 5.5 THE PRINCIPAL REALIZATION OF L(AO)
69 CHAPTER 6 LIE ALGEBRAS OF INFINITE MATRICES 6.0 INTRODUCTION 72 6.1
THE LIE ALGEBRAS GL( ), SL(~ ) AND G (AOO) 72 6.2 THE CENTRE OF A
KAC-MOODY ALGEBRA AND COMPLETIONS OF SL( ») T 76 6.3 CONNECTION WITH
LOOP ALGEBRAS AND THEIR CENTRAL EXTENSIONS 83 6.4 REPRESENTATION THEORY
OF SL(~) AND AOO 86 6.5 THE WEDGE REALIZATION OF L(AK)[KAC& PET 2J 88
6.6 THE BOSONIC REALIZATION OF L(A0 OVER A 94
|
| any_adam_object | 1 |
| author | Bergvelt, Maarten J. Kroode, A. P. ten |
| author_facet | Bergvelt, Maarten J. Kroode, A. P. ten |
| author_role | aut aut |
| author_sort | Bergvelt, Maarten J. |
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| indexdate | 2024-07-09T17:13:09Z |
| institution | BVB |
| language | English |
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| series | Centrum voor Wiskunde en Informatica <Amsterdam>: CWI syllabus |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam>: CWI syllabus |
| spelling | Bergvelt, Maarten J. Verfasser aut Lectures on Kac-Moody algebras proceedings seminar 1986 - 1987 M. J. Bergvelt ; A. P. E. ten Kroode Amsterdam Centrum voor Wiskunde en Informatica 1992 97 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam>: CWI syllabus 30 Kac-Moody-Algebra (DE-588)4223399-9 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Kac-Moody-Algebra (DE-588)4223399-9 s DE-604 Kroode, A. P. ten Verfasser aut Centrum voor Wiskunde en Informatica <Amsterdam>: CWI syllabus 30 (DE-604)BV002814804 30 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005282841&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bergvelt, Maarten J. Kroode, A. P. ten Lectures on Kac-Moody algebras proceedings seminar 1986 - 1987 Centrum voor Wiskunde en Informatica <Amsterdam>: CWI syllabus Kac-Moody-Algebra (DE-588)4223399-9 gnd |
| subject_GND | (DE-588)4223399-9 (DE-588)1071861417 |
| title | Lectures on Kac-Moody algebras proceedings seminar 1986 - 1987 |
| title_auth | Lectures on Kac-Moody algebras proceedings seminar 1986 - 1987 |
| title_exact_search | Lectures on Kac-Moody algebras proceedings seminar 1986 - 1987 |
| title_full | Lectures on Kac-Moody algebras proceedings seminar 1986 - 1987 M. J. Bergvelt ; A. P. E. ten Kroode |
| title_fullStr | Lectures on Kac-Moody algebras proceedings seminar 1986 - 1987 M. J. Bergvelt ; A. P. E. ten Kroode |
| title_full_unstemmed | Lectures on Kac-Moody algebras proceedings seminar 1986 - 1987 M. J. Bergvelt ; A. P. E. ten Kroode |
| title_short | Lectures on Kac-Moody algebras |
| title_sort | lectures on kac moody algebras proceedings seminar 1986 1987 |
| title_sub | proceedings seminar 1986 - 1987 |
| topic | Kac-Moody-Algebra (DE-588)4223399-9 gnd |
| topic_facet | Kac-Moody-Algebra Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005282841&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002814804 |
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