Abstract Lie-algebras:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
MIT Press
1972
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 150 S. |
| ISBN: | 0262230518 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface vii
1 Modules ]
1.1 Introduction 1
1.2 Complete Reducibility 2
1.3 Ascent and Descent 5
1.4 Jordan Decomposition 9
1.5 Fitting Decomposition 14
2 Nonassociative Algebras 16
2.1 Introduction 16
2.2 Ascent and Descent 19
2.3 Translations and the Multiplication Algebra 20
2.4 Derivations 20
2.5 Solvability; the Radical of 91 25
2.6 Simplicity and Semisimplicity 28
2.7 Nonassociative Algebras with Invariant Forms 30
2.8 Lie Algebras with Invariant Forms 32
3 Lie Algebras of Characteristic 0 34
3.1 Introduction 34
3.2 Nilpotent Lie Algebras; Engel s Theorem 36
3.3 Cartan Subalgebras 40
3.4 Solvable Lie Algebras 43
3.5 Cartan s Criteria 46
3.6 Existence of Complements 48
3.7 Classification of Split Semisimple Lie Algebras 51
3.8 Automorphisms; Conjugacy Theorems 92
4 Lie Algebras of Arbitrary Characteristic 102
4.1 Introduction 102
4.2 v4 graded Lie Algebras 107
4.3 Nilpotent Lie Algebras 109
4.4 Cartan Subalgebras 115
vi Contents
4.5 The Toral Structure of a Lie / Algebra 132
4.6 Exponentials 139
Appendix The Zariski Topology 144
References 145
Index 149
|
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| id | DE-604.BV003106658 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:53:42Z |
| institution | BVB |
| isbn | 0262230518 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001947918 |
| oclc_num | 308531 |
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| owner_facet | DE-384 DE-91G DE-BY-TUM DE-703 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-29T DE-83 DE-188 DE-11 |
| physical | VII, 150 S. |
| psigel | HUB-ZB011201206 |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | MIT Press |
| record_format | marc |
| spelling | Winter, David J. Verfasser (DE-588)120601613 aut Abstract Lie-algebras David J. Winter Cambridge [u.a.] MIT Press 1972 VII, 150 S. txt rdacontent n rdamedia nc rdacarrier Lie, Algèbres de Lie algebras Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001947918&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Winter, David J. Abstract Lie-algebras Lie, Algèbres de Lie algebras Lie-Algebra (DE-588)4130355-6 gnd |
| subject_GND | (DE-588)4130355-6 |
| title | Abstract Lie-algebras |
| title_auth | Abstract Lie-algebras |
| title_exact_search | Abstract Lie-algebras |
| title_full | Abstract Lie-algebras David J. Winter |
| title_fullStr | Abstract Lie-algebras David J. Winter |
| title_full_unstemmed | Abstract Lie-algebras David J. Winter |
| title_short | Abstract Lie-algebras |
| title_sort | abstract lie algebras |
| topic | Lie, Algèbres de Lie algebras Lie-Algebra (DE-588)4130355-6 gnd |
| topic_facet | Lie, Algèbres de Lie algebras Lie-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001947918&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT winterdavidj abstractliealgebras |