Extended affine Lie algebras and their root systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
1997
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
603 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 126, Number 603 (fourth of 5 numbers) |
| Beschreibung: | VIII, 122 S. |
| ISBN: | 0821805940 |
Internformat
MARC
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| 245 | 1 | 0 | |a Extended affine Lie algebras and their root systems |c Bruce N. Allison ... |
| 264 | 1 | |a Providence, RI |c 1997 | |
| 300 | |a VIII, 122 S. | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 603 | |
| 500 | |a Volume 126, Number 603 (fourth of 5 numbers) | ||
| 650 | 0 | 7 | |a Unendlichdimensionale Lie-Algebra |0 (DE-588)4434344-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kac-Moody-Algebra |0 (DE-588)4223399-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Unendlichdimensionale Lie-Algebra |0 (DE-588)4434344-9 |D s |
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Datensatz im Suchindex
| _version_ | 1804125906853167104 |
|---|---|
| adam_text | CONTENTS
Introduction 1
Chapter I. The basic structure theory of extended afflne Lie
algebras 6
1. Basics 6
2. The Kac conjecture 15
Chapter II. Semilattices and extended afflne root systems 22
1. Semilattices 22
2. The structure of extended affine root systems 26
3. Isomorphism conditions for EARS 39
4. The classification of EARS 43
Chapter III. Examples of extended afflne Lie algebras 72
1. A general construction of EALA s 72
2. Examples of EALA s of simply laced type 79
3. Examples of EALA s of type Bt, I 2, and type BCt, l 82
4. Examples of EALA s of type Ct,£ 2 93
5. Examples of EALA s of type G% and F± 98
Appendix. Axiomatic theory of roots 114
1. Sets of real roots 114
2. Sets of roots 117
References 120
vii
|
| any_adam_object | 1 |
| author | Allison, Bruce N. 1945- |
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| discipline | Mathematik |
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| id | DE-604.BV011394147 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:09:00Z |
| institution | BVB |
| isbn | 0821805940 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007659176 |
| oclc_num | 246281998 |
| open_access_boolean | |
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| owner_facet | DE-355 DE-BY-UBR DE-29T DE-12 DE-384 DE-824 DE-739 DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | VIII, 122 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Extended affine Lie algebras and their root systems Bruce N. Allison ... Providence, RI 1997 VIII, 122 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 603 Volume 126, Number 603 (fourth of 5 numbers) Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd rswk-swf Kac-Moody-Algebra (DE-588)4223399-9 gnd rswk-swf Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 s Kac-Moody-Algebra (DE-588)4223399-9 s DE-604 Allison, Bruce N. 1945- (DE-588)172912946 aut American Mathematical Society: Memoirs of the American Mathematical Society 603 (DE-604)BV008000141 603 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007659176&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Allison, Bruce N. 1945- Extended affine Lie algebras and their root systems American Mathematical Society: Memoirs of the American Mathematical Society Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd Kac-Moody-Algebra (DE-588)4223399-9 gnd |
| subject_GND | (DE-588)4434344-9 (DE-588)4223399-9 |
| title | Extended affine Lie algebras and their root systems |
| title_auth | Extended affine Lie algebras and their root systems |
| title_exact_search | Extended affine Lie algebras and their root systems |
| title_full | Extended affine Lie algebras and their root systems Bruce N. Allison ... |
| title_fullStr | Extended affine Lie algebras and their root systems Bruce N. Allison ... |
| title_full_unstemmed | Extended affine Lie algebras and their root systems Bruce N. Allison ... |
| title_short | Extended affine Lie algebras and their root systems |
| title_sort | extended affine lie algebras and their root systems |
| topic | Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd Kac-Moody-Algebra (DE-588)4223399-9 gnd |
| topic_facet | Unendlichdimensionale Lie-Algebra Kac-Moody-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007659176&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT allisonbrucen extendedaffineliealgebrasandtheirrootsystems |