Lie groups and subsemigroups with surjective exponential function:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1997
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
618 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 130, Number 618 (second of 4 numbers) |
| Beschreibung: | VIII, 174 S. graph. Darst. |
| ISBN: | 0821806416 |
Internformat
MARC
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| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1997 | |
| 300 | |a VIII, 174 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 618 | |
| 500 | |a Volume 130, Number 618 (second of 4 numbers) | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
Chapter 1. Introduction
1. The Problem and its Background ]
2. A Survey of Methods and Techniques 5
3. The Major Results 9
4. Suggestions for the Reader 10
Chapter 2. The Basic Theory of Exponential Semigroups in
Lie Groups
1. Basic Definitions and Examples 12
2. The Exponential Function and Divisibility 20
3. The Exponential Image of Lie Wedges and Regularity 24
4. Maximal Rank Subgroups 29
5. Interior Points in the Tangent Wedge 31
Chapter 3. Weyl Groups and Finiteness Properties of Cartan
Subalgebras
1. Cartan Dense Ideals 38
2. Algebraic Hulls 41
3. Generalized Weyl Groups 44
4. Intersections of Cartan Subalgebras 48
5. Porcupine Varieties 61
6. Porcupine Varieties are Proper 65
7. The Codimension of Porcupine Varieties 67
Chapter 4. Lie Semialgebras
1. Semialgebras Revisited 75
2. Dispersion of Weakly Exponential Semigroups 79
3. More about Subtangent Vectors 80
4. Reductions by Factoring Normal Subgroups 83
5. Porcupine Varieties and Lie Semialgebras 86
6. Groups with a Unique Maximal Compact Subgroup 90
7. More about Lean Sets 92
V
vi CONTENTS
Chapter 5. More Examples
1. Examples Connected with the Special Linear Group 95
2. Some Results on Injective Images of Lie Subsemigroups 98
3. Examples Connected with the Motion Algebra 102
4. Examples Connected with the Oscillator Group 104
5. Examples Connected with Compact Lie Algebras 107
Chapter 6. Test Algebras and Groups
1. Extensions of the Motion Algebra and of the Oscillator Al¬
gebra 109
2. Test Objects 111
3. Locally Direct Products of Lie Groups 115
4. The Proof of the Testing Theorem 119
Chapter 7. Groups Supporting Reduced Weakly Exponential
Semigroups
1. Occam s Razor and Reduced Weakly Exponential Sub
semigroups 126
2. The Spectrum of adw is Contained in R U iSL 128
3. Root Spaces with Respect to Real Valued Roots 132
4. Weakly Exponential Subsemigroups and Eggert Algebras 135
Chapter 8. Roots and Root Spaces
1. Roots and Root Spaces 141
2. The Answer 145
Chapter 9. Appendix: The Hyperspace of a Locally Compact
Space
1. Continuous Lattices, Lawson Topology, and Hyperspaces 154
2. Continuous Functions 158
3. The Use of Nets 165
4. Applications to Topological Algebras 168
References 169
Index 173
|
| any_adam_object | 1 |
| author | Hofmann, Karl H. 1932- Ruppert, Wolfgang 1948-2023 |
| author_GND | (DE-588)115780734 (DE-588)120562499 |
| author_facet | Hofmann, Karl H. 1932- Ruppert, Wolfgang 1948-2023 |
| author_role | aut aut |
| author_sort | Hofmann, Karl H. 1932- |
| author_variant | k h h kh khh w r wr |
| building | Verbundindex |
| bvnumber | BV011794705 |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)246282957 (DE-599)BVBBV011794705 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011794705 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:15:52Z |
| institution | BVB |
| isbn | 0821806416 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007962379 |
| oclc_num | 246282957 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-384 DE-29T DE-824 DE-739 DE-12 DE-91G DE-BY-TUM DE-83 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-384 DE-29T DE-824 DE-739 DE-12 DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | VIII, 174 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Hofmann, Karl H. 1932- Verfasser (DE-588)115780734 aut Lie groups and subsemigroups with surjective exponential function Karl H. Hofmann ; Wolfgang A. F. Ruppert Providence, RI American Math. Soc. 1997 VIII, 174 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 618 Volume 130, Number 618 (second of 4 numbers) Lie-Gruppe - Unterhalbgruppe - Exponentialfunktion Topologische Halbgruppe (DE-588)4200462-7 gnd rswk-swf Surjektivität (DE-588)4476623-3 gnd rswk-swf Exponentialfunktion (DE-588)4382956-9 gnd rswk-swf Loop (DE-588)4168153-8 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Topologische Halbgruppe (DE-588)4200462-7 s DE-604 Loop (DE-588)4168153-8 s Gruppentheorie (DE-588)4072157-7 s Lie-Gruppe (DE-588)4035695-4 s Exponentialfunktion (DE-588)4382956-9 s Surjektivität (DE-588)4476623-3 s Ruppert, Wolfgang 1948-2023 Verfasser (DE-588)120562499 aut American Mathematical Society: Memoirs of the American Mathematical Society 618 (DE-604)BV008000141 618 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007962379&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hofmann, Karl H. 1932- Ruppert, Wolfgang 1948-2023 Lie groups and subsemigroups with surjective exponential function American Mathematical Society: Memoirs of the American Mathematical Society Lie-Gruppe - Unterhalbgruppe - Exponentialfunktion Topologische Halbgruppe (DE-588)4200462-7 gnd Surjektivität (DE-588)4476623-3 gnd Exponentialfunktion (DE-588)4382956-9 gnd Loop (DE-588)4168153-8 gnd Gruppentheorie (DE-588)4072157-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| subject_GND | (DE-588)4200462-7 (DE-588)4476623-3 (DE-588)4382956-9 (DE-588)4168153-8 (DE-588)4072157-7 (DE-588)4035695-4 |
| title | Lie groups and subsemigroups with surjective exponential function |
| title_auth | Lie groups and subsemigroups with surjective exponential function |
| title_exact_search | Lie groups and subsemigroups with surjective exponential function |
| title_full | Lie groups and subsemigroups with surjective exponential function Karl H. Hofmann ; Wolfgang A. F. Ruppert |
| title_fullStr | Lie groups and subsemigroups with surjective exponential function Karl H. Hofmann ; Wolfgang A. F. Ruppert |
| title_full_unstemmed | Lie groups and subsemigroups with surjective exponential function Karl H. Hofmann ; Wolfgang A. F. Ruppert |
| title_short | Lie groups and subsemigroups with surjective exponential function |
| title_sort | lie groups and subsemigroups with surjective exponential function |
| topic | Lie-Gruppe - Unterhalbgruppe - Exponentialfunktion Topologische Halbgruppe (DE-588)4200462-7 gnd Surjektivität (DE-588)4476623-3 gnd Exponentialfunktion (DE-588)4382956-9 gnd Loop (DE-588)4168153-8 gnd Gruppentheorie (DE-588)4072157-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| topic_facet | Lie-Gruppe - Unterhalbgruppe - Exponentialfunktion Topologische Halbgruppe Surjektivität Exponentialfunktion Loop Gruppentheorie Lie-Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007962379&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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