Lie groups I:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
1991
|
| Schriftenreihe: | Translations of mathematical monographs
85 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Japan. übers. |
| Beschreibung: | III, 259 S. |
| ISBN: | 0821845446 |
Internformat
MARC
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| 245 | 1 | 0 | |a Lie groups I |c Mikio Ise ; Masaru Takeuchi |
| 264 | 1 | |a Providence, RI |c 1991 | |
| 300 | |a III, 259 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Translations of mathematical monographs |v 85 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-002815680 | ||
| 249 | |a Lie groups II |v Masaru Takeuchi | ||
Datensatz im Suchindex
| _version_ | 1804118705697718272 |
|---|---|
| adam_text | Contents of Lie Groups I
Preface to Lie Groups I 5
Foreword to Lie Groups I 7
Foreword to the First Edition of Lie Groups I 9
Notation for Lie Groups I 11
CHAPTER I. Concept of Lie Group, Particularly, Linear Lie
Group 13
§1.1. Closed linear Lie groups, particularly, the classical groups 13
§1.2. Correspondence between Lie groups and Lie algebras (the
so called Lie theory) 21
§1.3. Universal covering groups 31
§1.4. Closed subgroups of Lie groups 39
CHAPTER II. Compact Lie Groups and Semisimple Lie Groups 45
§2.1. Lie algebras of compact Lie groups 45
§2.2. Maximal torus subgroups of compact Lie groups 51
§2.3. Semisimple Lie groups and Lie algebras 57
§2.4. Structure of a noncompact semisimple Lie group 62
Chapter III. Outline of the Theory of Lie Algebras 69
§3.1. Solvable Lie algebras and Levi decomposition 69
§3.2. Complex semisimple Lie algebra and its compact real form 83
§3.3. Structure theorems for real semisimple Lie algebras 103
References 111
3
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| any_adam_object | 1 |
| author | Ise, Mikio Takeuchi, Masaru Takeuchi, Masaru |
| author_facet | Ise, Mikio Takeuchi, Masaru Takeuchi, Masaru |
| author_role | aut aut aut |
| author_sort | Ise, Mikio |
| author_variant | m i mi m t mt m t mt |
| building | Verbundindex |
| bvnumber | BV004576793 |
| classification_rvk | SK 340 |
| classification_tum | MAT 225f |
| ctrlnum | (OCoLC)260167745 (DE-599)BVBBV004576793 |
| 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.BV004576793 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:14:33Z |
| institution | BVB |
| isbn | 0821845446 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002815680 |
| oclc_num | 260167745 |
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| owner_facet | DE-12 DE-384 DE-91G DE-BY-TUM DE-824 DE-29T DE-83 DE-188 |
| physical | III, 259 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Ise, Mikio Verfasser aut Rī-gun Lie groups I Mikio Ise ; Masaru Takeuchi Providence, RI 1991 III, 259 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 85 Aus d. Japan. übers. Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 s DE-604 Takeuchi, Masaru Verfasser aut Takeuchi, Masaru aut Lie groups II Translations of mathematical monographs 85 (DE-604)BV000002394 85 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002815680&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Lie groups II Masaru Takeuchi |
| spellingShingle | Ise, Mikio Takeuchi, Masaru Takeuchi, Masaru Lie groups I Translations of mathematical monographs Lie-Gruppe (DE-588)4035695-4 gnd |
| subject_GND | (DE-588)4035695-4 |
| title | Lie groups I |
| title_alt | Rī-gun Lie groups II |
| title_auth | Lie groups I |
| title_exact_search | Lie groups I |
| title_full | Lie groups I Mikio Ise ; Masaru Takeuchi |
| title_fullStr | Lie groups I Mikio Ise ; Masaru Takeuchi |
| title_full_unstemmed | Lie groups I Mikio Ise ; Masaru Takeuchi |
| title_short | Lie groups I |
| title_sort | lie groups i |
| topic | Lie-Gruppe (DE-588)4035695-4 gnd |
| topic_facet | Lie-Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002815680&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT isemikio rigun AT takeuchimasaru rigun AT isemikio liegroupsi AT takeuchimasaru liegroupsi |