Locally compact groups: Markus Stroppel
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Zürich
Europ. Math. Soc.
2006
|
| Schriftenreihe: | EMS textbooks in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 302 S. graph. Darst. |
| ISBN: | 3037190167 |
Internformat
MARC
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| 245 | 1 | 0 | |a Locally compact groups |b Markus Stroppel |
| 264 | 1 | |a Zürich |b Europ. Math. Soc. |c 2006 | |
| 300 | |a X, 302 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a EMS textbooks in mathematics | |
| 650 | 4 | |a Groupes localement compacts | |
| 650 | 4 | |a Locally compact groups | |
| 650 | 0 | 7 | |a Lokal kompakte Gruppe |0 (DE-588)4168094-7 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
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| 776 | 0 | 8 | |i Erscheint auch als |a Stroppel, Markus, 1961- |t Locally compact groups |n Online-Ausgabe |z 978-3-03719-516-1 |w (DE-604)BV036713211 |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-014795275 | ||
Datensatz im Suchindex
| _version_ | 1804135350477520896 |
|---|---|
| adam_text | Contents
Preface
v
A Preliminaries
1
1
Maps and Topologies
........................ 1
2
Connectedness and Topological Dimension
............ 19
В
Topological Groups
26
3
Basic Definitions and Results
.................... 26
4
Subgroups
.............................. 43
5
Linear Groups over Topological Rings
............... 50
6
Quotients
.............................. 53
7
Solvable and
Nilpotent
Groups
................... 66
8
Completion
............................. 72
С
Topological Transformation Groups
91
9
The Compact-Open Topology
.................... 91
10
Transformation Groups
....................... 99
11
Sets, Groups, and Rings of Homomorphisms
............ 105
D
The
Haar
Integral
113
12
Existence and Uniqueness of
Haar
Integrals
............ 113
13
The Module Function
........................ 123
14
Applications to Linear Representations
............... 128
E
Categories of Topological Groups
143
15
Categories
.............................. 143
16
Products in Categories of Topological Groups
........... 147
17
Direct Limits and
Projective
Limits
................. 156
18
Projective
Limits of Topological Groups
.............. 165
19
Compact Groups
.......................... 169
F
Locally Compact Abelian Groups
174
20
Characters and Character Groups
.................. 174
21
Compactly Generated Abelian Lie Groups
............. 181
22
Pontryagin s Duality Theorem
................... 191
23
Applications of the Duality Theorem
................ 194
24
Maximal Compact Subgroups and Vector Subgroups
....... 203
χ
Contents
25
Automorphism Groups of Locally Compact Abelian Groups
. . . 207
26
Locally Compact Rings and Fields
................. 212
27
Homogeneous Locally Compact Groups
.............. 230
G
Locally Compact Semigroups
242
28
Topological Semigroups
...................... 242
29
Embedding Cancellative Directed Semigroups into Groups
.... 250
30
Compact Semigroups
........................ 254
31
Groups with Continuous Multiplication
.............. 259
H
Hubert s Fifth Problem
261
32
The Approximation Theorem
.................... 261
33
Dimension of Locally Compact Groups
.............. 264
34
The Rough Structure
........................ 268
35
Notions of Simplicity
........................ 272
36
Compact Groups
.......................... 276
37
Countable Bases, Metrizability
................... 279
38
Non-Lie Groups of Finite Dimension
................ 280
39
Arcwise Connected Subgroups
................... 281
40
Algebraic Groups
.......................... 285
Bibliography
287
Index of Symbols
291
Subject Index
297
|
| adam_txt |
Contents
Preface
v
A Preliminaries
1
1
Maps and Topologies
. 1
2
Connectedness and Topological Dimension
. 19
В
Topological Groups
26
3
Basic Definitions and Results
. 26
4
Subgroups
. 43
5
Linear Groups over Topological Rings
. 50
6
Quotients
. 53
7
Solvable and
Nilpotent
Groups
. 66
8
Completion
. 72
С
Topological Transformation Groups
91
9
The Compact-Open Topology
. 91
10
Transformation Groups
. 99
11
Sets, Groups, and Rings of Homomorphisms
. 105
D
The
Haar
Integral
113
12
Existence and Uniqueness of
Haar
Integrals
. 113
13
The Module Function
. 123
14
Applications to Linear Representations
. 128
E
Categories of Topological Groups
143
15
Categories
. 143
16
Products in Categories of Topological Groups
. 147
17
Direct Limits and
Projective
Limits
. 156
18
Projective
Limits of Topological Groups
. 165
19
Compact Groups
. 169
F
Locally Compact Abelian Groups
174
20
Characters and Character Groups
. 174
21
Compactly Generated Abelian Lie Groups
. 181
22
Pontryagin's Duality Theorem
. 191
23
Applications of the Duality Theorem
. 194
24
Maximal Compact Subgroups and Vector Subgroups
. 203
χ
Contents
25
Automorphism Groups of Locally Compact Abelian Groups
. . . 207
26
Locally Compact Rings and Fields
. 212
27
Homogeneous Locally Compact Groups
. 230
G
Locally Compact Semigroups
242
28
Topological Semigroups
. 242
29
Embedding Cancellative Directed Semigroups into Groups
. 250
30
Compact Semigroups
. 254
31
Groups with Continuous Multiplication
. 259
H
Hubert's Fifth Problem
261
32
The Approximation Theorem
. 261
33
Dimension of Locally Compact Groups
. 264
34
The Rough Structure
. 268
35
Notions of Simplicity
. 272
36
Compact Groups
. 276
37
Countable Bases, Metrizability
. 279
38
Non-Lie Groups of Finite Dimension
. 280
39
Arcwise Connected Subgroups
. 281
40
Algebraic Groups
. 285
Bibliography
287
Index of Symbols
291
Subject Index
297 |
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| dewey-raw | 512.55 |
| dewey-search | 512.55 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| genre_facet | Einführung |
| id | DE-604.BV021579586 |
| illustrated | Illustrated |
| index_date | 2024-07-02T14:41:15Z |
| indexdate | 2024-07-09T20:39:07Z |
| institution | BVB |
| isbn | 3037190167 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014795275 |
| oclc_num | 69903219 |
| open_access_boolean | |
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| owner_facet | DE-20 DE-824 DE-703 DE-29T DE-355 DE-BY-UBR DE-11 DE-188 DE-83 DE-739 |
| physical | X, 302 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Europ. Math. Soc. |
| record_format | marc |
| series2 | EMS textbooks in mathematics |
| spelling | Stroppel, Markus 1961- Verfasser (DE-588)112910831 aut Locally compact groups Markus Stroppel Zürich Europ. Math. Soc. 2006 X, 302 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier EMS textbooks in mathematics Groupes localement compacts Locally compact groups Lokal kompakte Gruppe (DE-588)4168094-7 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Lokal kompakte Gruppe (DE-588)4168094-7 s DE-604 Erscheint auch als Stroppel, Markus, 1961- Locally compact groups Online-Ausgabe 978-3-03719-516-1 (DE-604)BV036713211 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014795275&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stroppel, Markus 1961- Locally compact groups Markus Stroppel Groupes localement compacts Locally compact groups Lokal kompakte Gruppe (DE-588)4168094-7 gnd |
| subject_GND | (DE-588)4168094-7 (DE-588)4151278-9 |
| title | Locally compact groups Markus Stroppel |
| title_auth | Locally compact groups Markus Stroppel |
| title_exact_search | Locally compact groups Markus Stroppel |
| title_exact_search_txtP | Locally compact groups Markus Stroppel |
| title_full | Locally compact groups Markus Stroppel |
| title_fullStr | Locally compact groups Markus Stroppel |
| title_full_unstemmed | Locally compact groups Markus Stroppel |
| title_short | Locally compact groups |
| title_sort | locally compact groups markus stroppel |
| title_sub | Markus Stroppel |
| topic | Groupes localement compacts Locally compact groups Lokal kompakte Gruppe (DE-588)4168094-7 gnd |
| topic_facet | Groupes localement compacts Locally compact groups Lokal kompakte Gruppe Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014795275&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT stroppelmarkus locallycompactgroupsmarkusstroppel |