Semisimple groups and Riemannian symmetric spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Delhi
Hindustan Book Agency
1998
|
| Schriftenreihe: | Texts and readings in mathematics
16 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 136 S. |
| ISBN: | 8185931186 |
Internformat
MARC
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| 490 | 1 | |a Texts and readings in mathematics |v 16 | |
| 650 | 4 | |a Lie algebras | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Editor s note v
Foreword vii
I. Preliminaries 1
1. Notation, exponential mapping 1
2. Cartan subalgebras 4
3. Complex semi simple Lie algebras 9
4. Real forms of complex Lie algebras 15
Bibliography 19
II. Orthogonal Involutive Lie Algebras 20
1. Orthogonal involutive Lie algebras 20
2. Cartan subalgebras of orthogonal involutive Lie algebras 30
3. Roots, Weyl group 32
4. Complementary roots. A criterion for the rank 37
Notes and bibliography 44
HI. Locally Symmetric Spaces 45
1. Notation 45
2. Absolute differentiation. Linear connections 48
3. Normal coordinates. Cartan s equations 55
4. Riemannian manifolds 57
5. Connections invariant under their parallelism 58
6. Locally symmetric spaces 63
7. Locally symmetric Riemannian manifolds 65
Notes and bibliography 69
IV. Riemannian Symmetric Spaces 71
1. An extension lemma 71
2. Riemannian symmetric spaces 73
3. The space P as a symmetric space 80
4. Symmetric spaces with negative curvature 83
Notes and bibliography 90
x Contents
V. Compact Groups. Klein Forms of Symmetric Spaces 92
1. Groups with compact Lie algebra 92
2. Global diagram of orthogonal involutive Lie algebras 95
3. Fixed points of automorphisms 99
4. The Klein forms of symmetric spaces 101
Notes and bibliography 106
VI. Hermitian Symmetric Spaces 107
1. Hermitian involutive Lie algebras 107
2. Complex manifolds Ill
3. Hermitian symmetric spaces 113
4. Imbedding theorems 116
5. Bounded symmetric domains 119
Notes and bibliography 121
VII. Maximal Compact Subgroups of Lie Groups 123
1. Statement of the main theorem 123
2. Proof of the main theorem 125
3. The automorphism group of a semi simple Lie algebra 128
4. Extension of a vector group by a compact group 133
Notes and bibliography ¦¦ 136
|
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| id | DE-604.BV012484740 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:28:24Z |
| institution | BVB |
| isbn | 8185931186 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008473919 |
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| physical | X, 136 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Hindustan Book Agency |
| record_format | marc |
| series | Texts and readings in mathematics |
| series2 | Texts and readings in mathematics |
| spelling | Borel, Armand 1923-2003 Verfasser (DE-588)119089106 aut Semisimple groups and Riemannian symmetric spaces Armand Borel Delhi Hindustan Book Agency 1998 X, 136 S. txt rdacontent n rdamedia nc rdacarrier Texts and readings in mathematics 16 Lie algebras Riemannian manifolds Semisimple Lie groups Symmetric spaces Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd rswk-swf Symmetrischer Raum (DE-588)4184206-6 gnd rswk-swf Halbeinfache Lie-Gruppe (DE-588)4122188-6 s Symmetrischer Raum (DE-588)4184206-6 s DE-604 Texts and readings in mathematics 16 (DE-604)BV011380811 16 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008473919&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Borel, Armand 1923-2003 Semisimple groups and Riemannian symmetric spaces Texts and readings in mathematics Lie algebras Riemannian manifolds Semisimple Lie groups Symmetric spaces Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Symmetrischer Raum (DE-588)4184206-6 gnd |
| subject_GND | (DE-588)4122188-6 (DE-588)4184206-6 |
| title | Semisimple groups and Riemannian symmetric spaces |
| title_auth | Semisimple groups and Riemannian symmetric spaces |
| title_exact_search | Semisimple groups and Riemannian symmetric spaces |
| title_full | Semisimple groups and Riemannian symmetric spaces Armand Borel |
| title_fullStr | Semisimple groups and Riemannian symmetric spaces Armand Borel |
| title_full_unstemmed | Semisimple groups and Riemannian symmetric spaces Armand Borel |
| title_short | Semisimple groups and Riemannian symmetric spaces |
| title_sort | semisimple groups and riemannian symmetric spaces |
| topic | Lie algebras Riemannian manifolds Semisimple Lie groups Symmetric spaces Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Symmetrischer Raum (DE-588)4184206-6 gnd |
| topic_facet | Lie algebras Riemannian manifolds Semisimple Lie groups Symmetric spaces Halbeinfache Lie-Gruppe Symmetrischer Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008473919&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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