Some generalized Kac-Moody algebras with known root multiplicities:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
AMS
2002
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| Schriftenreihe: | Memoirs of the American Mathematical Society
746 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 157, number 746 (second of 5 numbers)." |
| Beschreibung: | IX, 119 S. graph. Darst. |
| ISBN: | 0821828886 |
Internformat
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Datensatz im Suchindex
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| adam_text | OF THE AMERICAN MATHEMATICAL SOCIETY NUMBER 746 SOME GENERALIZED
KAC-MOODY ALGEBRAS WITH KNOWN ROOT MULTIPLICITIES PETER NIEMANN LS EM.
MAY 2002 * VOLUME 157 * NUMBER 746 (SECOND OF 5 NUMBERS) * ISSN
0065-9266 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND
CONTENTS INTRODUCTION 1 CHAPTER 1. GENERALIZED KAC-MOODY ALGEBRAS 5 1.1.
DEFINITION AND FUNDAMENTAL PROPERTIES 5 1.2. THE DENOMINATOR FORMULA 9
1.3. VERTEX ALGEBRAS 11 1.4. THE FAKE MONSTER LIE ALGEBRA 15 1.5. THE
TWISTED DENOMINATOR FORMULA 18 1.6. CONSTRUCTION OF THE GKMS 20 1.7.
ROOT MULTIPLICITIES 24 CHAPTER 2. MODULAR FORMS 29 2.1. REVIEW OF
MODULAR GROUP AND MODULAR FORMS 29 2.2. SOME MODULAR FORMS RELATED TO
ETA 31 CHAPTER 3. LATTICES AND THEIR THETA-FUNCTIONS 34 3.1. REVIEW OF
RESULTS ABOUT LATTICES 34 3.2. THE CHARACTER OF THETA 35 CHAPTER 4. THE
PROOF OF THEOREM 1.7 38 4.1. THE THETA-FUNCTION OF L* 38 4.2. SUMS OF
QUADRATIC RESIDUES 44 4.3. THE SHORT VECTORS OF L* 46 4.4. THE
CONCLUSION OF THE PROOF 49 CHAPTER 5. THE REAL SIMPLE ROOTS 54 5.1. THE
SET OF REAL SIMPLE ROOTS 54 5.2. HOLES AND DYNKIN DIAGRAMS 56 5.3. THE
VOLUME FORMULA 63 5.4. THE AUTOMORPHISM GROUPS 67 CHAPTER 6. HYPERBOLIC
LIE ALGEBRAS 72 6.1. WAN S CLASSIFICATION 73 6.2. FINITE, AFFINE, AND
HYPERBOLIC SUBALGEBRAS 73 6.3. CONCLUSIONS 89 APPENDIX A 93 N=23 93 N=LL
94 N=7 94 N=5 95 VIII CONTENTS N=3 96 N=2 99 APPENDIX B 110
BIBLIOGRAPHY 116 NOTATION 118
|
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| indexdate | 2024-07-09T19:01:43Z |
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| isbn | 0821828886 |
| language | English |
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| physical | IX, 119 S. graph. Darst. |
| publishDate | 2002 |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Niemann, Peter Verfasser (DE-588)1294383175 aut Some generalized Kac-Moody algebras with known root multiplicities Peter Niemann Providence, RI AMS 2002 IX, 119 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 746 "Volume 157, number 746 (second of 5 numbers)." Kac-Moody algebras Root systems (Algebra) Kac-Moody-Algebra (DE-588)4223399-9 gnd rswk-swf Kac-Moody-Algebra (DE-588)4223399-9 s DE-604 Memoirs of the American Mathematical Society 746 (DE-604)BV008000141 746 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009827168&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Niemann, Peter Some generalized Kac-Moody algebras with known root multiplicities Memoirs of the American Mathematical Society Kac-Moody algebras Root systems (Algebra) Kac-Moody-Algebra (DE-588)4223399-9 gnd |
| subject_GND | (DE-588)4223399-9 |
| title | Some generalized Kac-Moody algebras with known root multiplicities |
| title_auth | Some generalized Kac-Moody algebras with known root multiplicities |
| title_exact_search | Some generalized Kac-Moody algebras with known root multiplicities |
| title_full | Some generalized Kac-Moody algebras with known root multiplicities Peter Niemann |
| title_fullStr | Some generalized Kac-Moody algebras with known root multiplicities Peter Niemann |
| title_full_unstemmed | Some generalized Kac-Moody algebras with known root multiplicities Peter Niemann |
| title_short | Some generalized Kac-Moody algebras with known root multiplicities |
| title_sort | some generalized kac moody algebras with known root multiplicities |
| topic | Kac-Moody algebras Root systems (Algebra) Kac-Moody-Algebra (DE-588)4223399-9 gnd |
| topic_facet | Kac-Moody algebras Root systems (Algebra) Kac-Moody-Algebra |
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