Lie-Gruppen und Lie-Algebren:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Braunschweig [u.a.]
Vieweg
1991
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 361 S. graph. Darst. |
| ISBN: | 3528064323 9783528064327 |
Internformat
MARC
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| 100 | 1 | |a Hilgert, Joachim |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lie-Gruppen und Lie-Algebren |c Joachim Hilgert ; Karl-Hermann Neeb |
| 264 | 1 | |a Braunschweig [u.a.] |b Vieweg |c 1991 | |
| 300 | |a 361 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 650 | 7 | |a Lie-algebra's |2 gtt | |
| 650 | 7 | |a Lie-groepen |2 gtt | |
| 650 | 4 | |a Lie algebras | |
| 650 | 4 | |a Lie groups | |
| 650 | 0 | 7 | |a Lie-Algebra |0 (DE-588)4130355-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lie-Gruppe |0 (DE-588)4035695-4 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804118669941276672 |
|---|---|
| adam_text | Inhaltsverzeichnis
I Lie Gruppen 1
§1.1 Die allgemeine lineare Gruppe 2
§1.2 Die Exponentialfunktion 13
§1.3 Abgeschlossene Untergruppen von Gl(n, K) 26
§1.4 Die Campbell Hausdorff Formel 37
§1.5 Analytische Untergruppen 47
§1.6 Bogenzusammenhängende Gruppen 57
§1.7 Homomorphismen 68
§1.8 Fundamentalgruppen und Überlagerungen 77
§1.9 Einfach zusammenhängende Überlagerungsgruppen 90
II Lie Algebren 102
§11.1 Definitionen und Beispiele 103
§11.2 Nilpotente und auflösbare Lie Algebren 110
§11.3 Halbeinfache Lie Algebren 123
§11.4 Erweiterungen und Moduln 142
§11.5 Lie Algebra Kohomologie 153
§11.6 Einhüllende Algebren 165
§11.7 Der Satz von Ado 172
III Strukturtheorie von Lie Gruppen 183
§111.1 Analytische Mannigfaltigkeiten 184
§111.2 Die Lie Algebra und die Exponentialfunktion 198
§111.3 Anwendungen der Exponentialfunktion 213
§111.4 Das Haarsche Maß 232
§111.5 Lie Gruppen mit kompakter Lie Algebra 241
§111.6 Halbeinfache Lie Gruppen 255
§111.7 Maximal kompakte Untergruppen, das Zentrum und
Mannigfaltigkeitsfaktoren 275
§111.8 Dichte analytische Untergruppen 291
§111.9 Komplexe Lie Gruppen 300
§111.10 Charakterisierung der linearen Lie Gruppen 315
§111.11 Anwendung der Theorie auf die Klassischen Gruppen 325
Anhang: Topologische Grundlagen 338
Lehrbücher über Lie Gruppen und Algebren 355
Symbolverzeichnis 357
Sachverzeichnis 359
|
| any_adam_object | 1 |
| author | Hilgert, Joachim Neeb, Karl-Hermann 1964- |
| author_GND | (DE-588)112163920 |
| author_facet | Hilgert, Joachim Neeb, Karl-Hermann 1964- |
| author_role | aut aut |
| author_sort | Hilgert, Joachim |
| author_variant | j h jh k h n khn |
| building | Verbundindex |
| bvnumber | BV004534942 |
| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 260 SK 340 |
| classification_tum | MAT 225f MAT 255f MAT 173f |
| ctrlnum | (OCoLC)26599810 (DE-599)BVBBV004534942 |
| dewey-full | 512.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.55 |
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| dewey-sort | 3512.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV004534942 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:13:59Z |
| institution | BVB |
| isbn | 3528064323 9783528064327 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002792178 |
| oclc_num | 26599810 |
| open_access_boolean | |
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| physical | 361 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Vieweg |
| record_format | marc |
| spelling | Hilgert, Joachim Verfasser aut Lie-Gruppen und Lie-Algebren Joachim Hilgert ; Karl-Hermann Neeb Braunschweig [u.a.] Vieweg 1991 361 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lie-algebra's gtt Lie-groepen gtt Lie algebras Lie groups Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s DE-604 Lie-Gruppe (DE-588)4035695-4 s Neeb, Karl-Hermann 1964- Verfasser (DE-588)112163920 aut Erscheint auch als Online-Ausgabe 978-3-322-80270-5 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002792178&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hilgert, Joachim Neeb, Karl-Hermann 1964- Lie-Gruppen und Lie-Algebren Lie-algebra's gtt Lie-groepen gtt Lie algebras Lie groups Lie-Algebra (DE-588)4130355-6 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| subject_GND | (DE-588)4130355-6 (DE-588)4035695-4 |
| title | Lie-Gruppen und Lie-Algebren |
| title_auth | Lie-Gruppen und Lie-Algebren |
| title_exact_search | Lie-Gruppen und Lie-Algebren |
| title_full | Lie-Gruppen und Lie-Algebren Joachim Hilgert ; Karl-Hermann Neeb |
| title_fullStr | Lie-Gruppen und Lie-Algebren Joachim Hilgert ; Karl-Hermann Neeb |
| title_full_unstemmed | Lie-Gruppen und Lie-Algebren Joachim Hilgert ; Karl-Hermann Neeb |
| title_short | Lie-Gruppen und Lie-Algebren |
| title_sort | lie gruppen und lie algebren |
| topic | Lie-algebra's gtt Lie-groepen gtt Lie algebras Lie groups Lie-Algebra (DE-588)4130355-6 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| topic_facet | Lie-algebra's Lie-groepen Lie algebras Lie groups Lie-Algebra Lie-Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002792178&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hilgertjoachim liegruppenundliealgebren AT neebkarlhermann liegruppenundliealgebren |