Lie groups with surjective exponential function:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Aachen
Shaker
2001
|
| Schriftenreihe: | Berichte aus der Mathematik
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 107 S. graph. Darst. : 21 cm |
| ISBN: | 3826584872 |
Internformat
MARC
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| 100 | 1 | |a Wüstner, Michael |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lie groups with surjective exponential function |c Michael Wüstner |
| 264 | 1 | |a Aachen |b Shaker |c 2001 | |
| 300 | |a VI, 107 S. |b graph. Darst. : 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Berichte aus der Mathematik | |
| 502 | |a Zugl.: Darmstadt, Techn. Univ., Habil.-Schr., 2000 | ||
| 650 | 7 | |a Hochschulschrift |2 gtt | |
| 650 | 4 | |a Exponential functions | |
| 650 | 4 | |a Lie groups | |
| 650 | 0 | 7 | |a Lie-Gruppe |0 (DE-588)4035695-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Surjektivität |0 (DE-588)4476623-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Exponentialfunktion |0 (DE-588)4382956-9 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Exponentialfunktion |0 (DE-588)4382956-9 |D s |
| 689 | 0 | 2 | |a Surjektivität |0 (DE-588)4476623-3 |D s |
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| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009303685&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009303685 | |
Datensatz im Suchindex
| _version_ | 1807504382711824384 |
|---|---|
| adam_text |
CONTENTS
I
INTRODUCTION
1
1.1
THE
JORDAN
DECOMPOSITIONS
.
1
1.2
REGULAR
ELEMENTS
.
3
1.3
PRE-IMAGES
OF
AD-UNIPOTENT
AND
AD-SEMISIMPLE
ELEMENTS
.
4
1.4
A
FEW
INTRODUCTORY
EXAMPLES
.
5
1.5
AN
ILLUSTRATION
.
6
1.6
BASIC
DEFINITIONS
.
9
1.7
THE
EXPONENTIAL
FUNCTION
OF
QUOTIENT
GROUPS
.
10
II
HISTORY
11
III
CARTAN
SUBALGEBRAS
AND
CARTAN
SUBGROUPS
17
III.L
CARTAN
SUBALGEBRAS
.
17
III.2
THE
COMPLEXIFICATION
.
18
III.3
ROOT
DECOMPOSITION
.
18
III.
4
CARTAN
SUBGROUPS
.
19
III.5
NEAR-CARTAN
SUBALGEBRAS
AND
SUBGROUPS
.
25
III.6
SEMISIMPLE
ELEMENTS
AND
CARTAN
SUBGROUPS
.
25
IV
FACTORING
A
LIE
GROUP
29
V
STRONGLY
AND
WEAKLY
EXPONENTIAL
LIE
GROUPS
37
V.L
STRONGLY
EXPONENTIAL
LIE
GROUPS
.
37
V.2
WEAKLY
EXPONENTIAL
LIE
GROUPS
.
38
VI
CONTENTS
VI
SPLITTABLE
LIE
GROUPS
41
VI.
1
SPLITTABLE
AND
MAL
'
CEV
SPLITTABLE
LIE
ALGEBRAS
.
41
VI.2
SPLITTABLE
AND
MAL
'
CEV
SPLITTABLE
LIE
GROUPS
.
45
VI.3
CARTAN
SUBGROUPS
OF
MAL
'
CEV
SPLITTABLE
LIE
GROUPS
.
50
VI.4
THE
EXPONENTIAL
FUNCTION
OF
MAL
'
CEV
SPLITTABLE
LIE
GROUPS
.
52
VII
ALGEBRAIC
AND
SEMISIMPLE
LIE
GROUPS
59
VII.
1
ALGEBRAIC
GROUPS
.
59
VII.2
SEMISIMPLE
LIE
GROUPS
.
61
VII.3
SIMPLE
LIE
GROUPS
.
62
VIII
SOLVABLE
LIE
GROUPS
67
VIII.
1
THE
FUNDAMENTAL
THEOREM
.
67
VIII.2
THE
ROLE
OF
MAXIMAL
COMPACTLY
EMBEDDED
SUBGROUPS
.
69
IX
ARBITRARY
LIE
GROUPS
73
IX.
1
THE
MAL
'
CEV
SPLITTABLE
RADICAL
.
73
IX.2
SOME
ADDITIONAL
NECESSARY
CONDITIONS
.
77
IX.3
A
GENERALIZATION
OF
THE
JORDAN
DECOMPOSITION
.
78
IX.4
AN
EQUIVALENT
CONDITION
FOR
EXPONENTIALITY
.
82
IX.5
ANOTHER
APPROACH
.
83
X
COUNTEREXAMPLES
85
XI
OPEN
PROBLEMS
99
XI.
1
SEMISIMPLE
AND
SIMPLE
LIE
GROUPS
.
99
XI.2
SOLVABLE
LIE
GROUPS
.
100
XI.
3
ARBITRARY
LIE
GROUPS
.
100
XI.4
SPLITTABLE
HULLS
.
100
BIBLIOGRAPHY
101
INDEX
106 |
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| ctrlnum | (OCoLC)50459931 (DE-599)BVBBV013617000 |
| discipline | Mathematik |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV013617000 |
| illustrated | Illustrated |
| indexdate | 2024-08-16T01:08:26Z |
| institution | BVB |
| isbn | 3826584872 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009303685 |
| oclc_num | 50459931 |
| open_access_boolean | |
| owner | DE-824 DE-634 |
| owner_facet | DE-824 DE-634 |
| physical | VI, 107 S. graph. Darst. : 21 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Shaker |
| record_format | marc |
| series2 | Berichte aus der Mathematik |
| spelling | Wüstner, Michael Verfasser aut Lie groups with surjective exponential function Michael Wüstner Aachen Shaker 2001 VI, 107 S. graph. Darst. : 21 cm txt rdacontent n rdamedia nc rdacarrier Berichte aus der Mathematik Zugl.: Darmstadt, Techn. Univ., Habil.-Schr., 2000 Hochschulschrift gtt Exponential functions Lie groups Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Surjektivität (DE-588)4476623-3 gnd rswk-swf Exponentialfunktion (DE-588)4382956-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Lie-Gruppe (DE-588)4035695-4 s Exponentialfunktion (DE-588)4382956-9 s Surjektivität (DE-588)4476623-3 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009303685&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wüstner, Michael Lie groups with surjective exponential function Hochschulschrift gtt Exponential functions Lie groups Lie-Gruppe (DE-588)4035695-4 gnd Surjektivität (DE-588)4476623-3 gnd Exponentialfunktion (DE-588)4382956-9 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4476623-3 (DE-588)4382956-9 (DE-588)4113937-9 |
| title | Lie groups with surjective exponential function |
| title_auth | Lie groups with surjective exponential function |
| title_exact_search | Lie groups with surjective exponential function |
| title_full | Lie groups with surjective exponential function Michael Wüstner |
| title_fullStr | Lie groups with surjective exponential function Michael Wüstner |
| title_full_unstemmed | Lie groups with surjective exponential function Michael Wüstner |
| title_short | Lie groups with surjective exponential function |
| title_sort | lie groups with surjective exponential function |
| topic | Hochschulschrift gtt Exponential functions Lie groups Lie-Gruppe (DE-588)4035695-4 gnd Surjektivität (DE-588)4476623-3 gnd Exponentialfunktion (DE-588)4382956-9 gnd |
| topic_facet | Hochschulschrift Exponential functions Lie groups Lie-Gruppe Surjektivität Exponentialfunktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009303685&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT wustnermichael liegroupswithsurjectiveexponentialfunction |