Elementary Lie algebra theory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
New Haven
Yale Univ., Dep. of Math.
1974
|
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VII, 138 Bl. |
Internformat
MARC
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| 100 | 1 | |a Lepowsky, James |d 1944- |e Verfasser |0 (DE-588)134211766 |4 aut | |
| 245 | 1 | 0 | |a Elementary Lie algebra theory |c by J. Lepowsky and G. W. McCollum |
| 264 | 1 | |a New Haven |b Yale Univ., Dep. of Math. |c 1974 | |
| 300 | |a VII, 138 Bl. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 700 | 1 | |a MacCollum, G. W. |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001615281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001615281 | ||
Datensatz im Suchindex
| _version_ | 1804116913581719552 |
|---|---|
| adam_text | Contents
Introduction , p. m
Notation •». p. vi
Part 1. Elementary notions p. 1
51.1 Definition and examples of Lie algebras p. 1
51.2 Representations and modules p. 9
51.3 Ideals and quotients p. 14
51.4 Direct and semidirect products p. 18
51.5 Solvable and semisimple iie algebras p. 23
51.6 Nilpotent Lie algebras .* p. 30
§1.7 Trace forms and the Killing form p. 35
SI. More representations and modules ................. p. 43
§1.9 Field extension .» * p. 54
Exercises for Part 1 p. 57
Part 2. Structure and representation theory ............... p. 67
52.1 Commuting sets of operators p. 67
52.2 Lie s theorem ..................................... p. 76
52.3 Engel s theorem and the nilrepresentation theorem p. 88
§2.4 Weight theory • p. 91
52.5 Cartan subalgebras p. 99
52.6 Cartan»s criteria • p. 105
52.7 Semisimple and simple Lie algebras •••••«••• p. 114
52. g Semisimple Lie algebras and semisimple modules ..... p. 117
52.9 Reductive Lie algebras •• p. 126
52.10 Semmary of characterisations of
semisimple Lie algebras p. 126
Exercises for Part 2 ••.•••• p. 129
References • • • p» 137
|
| any_adam_object | 1 |
| author | Lepowsky, James 1944- MacCollum, G. W. |
| author_GND | (DE-588)134211766 |
| author_facet | Lepowsky, James 1944- MacCollum, G. W. |
| author_role | aut aut |
| author_sort | Lepowsky, James 1944- |
| author_variant | j l jl g w m gw gwm |
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| bvnumber | BV002507697 |
| ctrlnum | (OCoLC)631651411 (DE-599)BVBBV002507697 |
| format | Book |
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| indexdate | 2024-07-09T15:46:04Z |
| institution | BVB |
| language | Undetermined |
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| physical | VII, 138 Bl. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | Yale Univ., Dep. of Math. |
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| spelling | Lepowsky, James 1944- Verfasser (DE-588)134211766 aut Elementary Lie algebra theory by J. Lepowsky and G. W. McCollum New Haven Yale Univ., Dep. of Math. 1974 VII, 138 Bl. txt rdacontent n rdamedia nc rdacarrier MacCollum, G. W. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001615281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lepowsky, James 1944- MacCollum, G. W. Elementary Lie algebra theory |
| title | Elementary Lie algebra theory |
| title_auth | Elementary Lie algebra theory |
| title_exact_search | Elementary Lie algebra theory |
| title_full | Elementary Lie algebra theory by J. Lepowsky and G. W. McCollum |
| title_fullStr | Elementary Lie algebra theory by J. Lepowsky and G. W. McCollum |
| title_full_unstemmed | Elementary Lie algebra theory by J. Lepowsky and G. W. McCollum |
| title_short | Elementary Lie algebra theory |
| title_sort | elementary lie algebra theory |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001615281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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