Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1):
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Math. Soc.
1987
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
362 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 65, Number 362 (end of volume) |
| Physical Description: | X, 146 S. |
| ISBN: | 0821824236 |
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MARC
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| 245 | 1 | 0 | |a Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| 264 | 1 | |a Providence, R.I. |b American Math. Soc. |c 1987 | |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
Page
INTRODUCTION vii
CHAPTER 1: PRELIMINARIES
§1.1 The principal picture of the affine Lie
algebras of type X 1
§1.2 The algebra ZL() and tne vacuum space .. 6
§1.3 The generalized commutation relations
fOr ZLU) n
§1.4 The principal character for the affine Lie
algebras, and the basic modules 13
CHAPTER 2: STRUCTURE OF THE STANDARD Bjj MODULES
OF LEVEL ONE
§2.1 B as a subalgebra of D 22
§2.2 The principal Cartan subalgebras of D
and B and the corresponding principal
automorphisms 26
§2.3 The standard B modules of level 1 39
CHAPTER 3: STRUCTURE OF THE STANDARD (L MODULES
OF LEVEL ONE
§3.1 G as a subslgebra of D4 59
§3.2 The principal Cartan subalgebras of D,
and G2 and the corresponding principal
automorphisms 63
§3.3 The generalized anticommutation relations
for zT(i when L(X) is a standard
Gj module of level one 73
§3.4 The standard G~ modules of level one 94
CHAPTER 4: STRUCTURE OF THE STANDARD F. MODULES
OF LEVEL ONE
§4.1 F, as a subalgebra of E 102
§4.2 The principal Cartan subalgebras of E
and F, and the corresponding principal
automorphisms 106
iii
iv CONTENTS
Page
4.3 The generalized anticommutation
relations for zL(x) when L(X)
is a standard F. module of level one ....118
** 4
4.4 The standard F, modules of level one ....139
4
REFERENCES 144
|
| any_adam_object | 1 |
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| id | DE-604.BV003681989 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:03:44Z |
| institution | BVB |
| isbn | 0821824236 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002342547 |
| oclc_num | 14904328 |
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| physical | X, 146 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Mandia, Marly Verfasser aut Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) Providence, R.I. American Math. Soc. 1987 X, 146 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 362 Volume 65, Number 362 (end of volume) Lie algebras Modules (Algebra) Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s Modul (DE-588)4129770-2 s DE-604 American Mathematical Society: Memoirs of the American Mathematical Society 362 (DE-604)BV008000141 362 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002342547&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mandia, Marly Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) American Mathematical Society: Memoirs of the American Mathematical Society Lie algebras Modules (Algebra) Lie-Algebra (DE-588)4130355-6 gnd Modul (DE-588)4129770-2 gnd |
| subject_GND | (DE-588)4130355-6 (DE-588)4129770-2 |
| title | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_auth | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_exact_search | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_full | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_fullStr | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_full_unstemmed | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_short | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_sort | structure of the level one standard modules for the affine lie algebras b l 1 f 4 1 and g 2 1 |
| topic | Lie algebras Modules (Algebra) Lie-Algebra (DE-588)4130355-6 gnd Modul (DE-588)4129770-2 gnd |
| topic_facet | Lie algebras Modules (Algebra) Lie-Algebra Modul |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002342547&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT mandiamarly structureofthelevelonestandardmodulesfortheaffineliealgebrasbl1f41andg21 |