Cohomology of infinite dimensional Lie algebras:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English Russian |
Veröffentlicht: |
New York, NY u.a.
Consultants Bureau
1986
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Schriftenreihe: | Contemporary Soviet mathematics
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Aus d. Russ. übers. - EST: Kogomologij beskonechnomernyk' algebr Li <engl.> |
Beschreibung: | XII, 339 S. |
ISBN: | 0306109905 |
Internformat
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245 | 1 | 0 | |a Cohomology of infinite dimensional Lie algebras |c D. B. Fuks |
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300 | |a XII, 339 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 0 | |a Contemporary Soviet mathematics | |
500 | |a Aus d. Russ. übers. - EST: Kogomologij beskonechnomernyk' algebr Li <engl.> | ||
650 | 7 | |a Cohomologie |2 gtt | |
650 | 4 | |a Lie, Algèbres de | |
650 | 7 | |a Lie-algebra's |2 gtt | |
650 | 4 | |a Infinite dimensional Lie algebras | |
650 | 0 | 7 | |a Lie-Algebra |0 (DE-588)4130355-6 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Kohomologie |0 (DE-588)4031700-6 |2 gnd |9 rswk-swf |
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689 | 0 | 1 | |a Kohomologie |0 (DE-588)4031700-6 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a Lie-Algebra |0 (DE-588)4130355-6 |D s |
689 | 1 | 1 | |a Kohomologie |0 (DE-588)4031700-6 |D s |
689 | 1 | |8 1\p |5 DE-604 | |
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Datensatz im Suchindex
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adam_text | Contents
Chapter 1. GENERAL THEORY
§1. Lie algebras 1
§2. Modules 10
§3. Cohomology and homology 15
§4. Principal algebraic interpretations of
cohomology 30
§5. Main computational methods 40
§6. Lie superalgebras 49
Chapter 2. COMPUTATIONS
§1. Computations for finite dimensional Lie
algebras 61
§2. Computations for Lie algebras of formal
vector fields. General results 75
§3. Computations for Lie algebras of formal
vector fields on the line 119
§4. Computations for Lie algebras of smooth
vector fields 140
§5. Computations for current algebras 177
§6. Computations for Lie superalgebras 201
Chapter 3. APPLICATIONS
§1. Characteristic classes of foliations 209
§2. Combinatorial identities 257
§3. Invariant differential operators 271
xii CONTENTS
Page
§4. Cohomology of Lie algebras and cohomology
of Lie groups 289
§5. Cohomology operations in cobordisra theory. 307
REFERENCES 319
APPENDIX 329
|
any_adam_object | 1 |
author | Fuks, Dmitrij B. 1939- |
author_GND | (DE-588)110261984 |
author_facet | Fuks, Dmitrij B. 1939- |
author_role | aut |
author_sort | Fuks, Dmitrij B. 1939- |
author_variant | d b f db dbf |
building | Verbundindex |
bvnumber | BV006142685 |
callnumber-first | Q - Science |
callnumber-label | QA252 |
callnumber-raw | QA252.3 |
callnumber-search | QA252.3 |
callnumber-sort | QA 3252.3 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 340 |
ctrlnum | (OCoLC)14377064 (DE-599)BVBBV006142685 |
dewey-full | 512/.55 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512/.55 |
dewey-search | 512/.55 |
dewey-sort | 3512 255 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV006142685 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T16:40:59Z |
institution | BVB |
isbn | 0306109905 |
language | English Russian |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003883035 |
oclc_num | 14377064 |
open_access_boolean | |
owner | DE-703 |
owner_facet | DE-703 |
physical | XII, 339 S. |
publishDate | 1986 |
publishDateSearch | 1986 |
publishDateSort | 1986 |
publisher | Consultants Bureau |
record_format | marc |
series2 | Contemporary Soviet mathematics |
spelling | Fuks, Dmitrij B. 1939- Verfasser (DE-588)110261984 aut Cohomology of infinite dimensional Lie algebras D. B. Fuks New York, NY u.a. Consultants Bureau 1986 XII, 339 S. txt rdacontent n rdamedia nc rdacarrier Contemporary Soviet mathematics Aus d. Russ. übers. - EST: Kogomologij beskonechnomernyk' algebr Li <engl.> Cohomologie gtt Lie, Algèbres de Lie-algebra's gtt Infinite dimensional Lie algebras Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Kohomologie (DE-588)4031700-6 gnd rswk-swf Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd rswk-swf Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 s Kohomologie (DE-588)4031700-6 s DE-604 Lie-Algebra (DE-588)4130355-6 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003883035&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 |
spellingShingle | Fuks, Dmitrij B. 1939- Cohomology of infinite dimensional Lie algebras Cohomologie gtt Lie, Algèbres de Lie-algebra's gtt Infinite dimensional Lie algebras Lie-Algebra (DE-588)4130355-6 gnd Kohomologie (DE-588)4031700-6 gnd Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd |
subject_GND | (DE-588)4130355-6 (DE-588)4031700-6 (DE-588)4434344-9 |
title | Cohomology of infinite dimensional Lie algebras |
title_auth | Cohomology of infinite dimensional Lie algebras |
title_exact_search | Cohomology of infinite dimensional Lie algebras |
title_full | Cohomology of infinite dimensional Lie algebras D. B. Fuks |
title_fullStr | Cohomology of infinite dimensional Lie algebras D. B. Fuks |
title_full_unstemmed | Cohomology of infinite dimensional Lie algebras D. B. Fuks |
title_short | Cohomology of infinite dimensional Lie algebras |
title_sort | cohomology of infinite dimensional lie algebras |
topic | Cohomologie gtt Lie, Algèbres de Lie-algebra's gtt Infinite dimensional Lie algebras Lie-Algebra (DE-588)4130355-6 gnd Kohomologie (DE-588)4031700-6 gnd Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd |
topic_facet | Cohomologie Lie, Algèbres de Lie-algebra's Infinite dimensional Lie algebras Lie-Algebra Kohomologie Unendlichdimensionale Lie-Algebra |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003883035&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT fuksdmitrijb cohomologyofinfinitedimensionalliealgebras |