p-adic Lie groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
2011
|
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften
344 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XI, 254 Seiten Diagramme |
| ISBN: | 9783642268663 9783642211461 3642211461 |
Internformat
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Datensatz im Suchindex
| _version_ | 1805096371018006528 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS
A P-ADIC ANALYSIS AND LIE GROUPS 1
I FOUNDATIONS 3
1 ULTRAMETRIC SPACES 3
2 NONARCHIMEDEAN FIELDS 8
3 CONVERGENT SERIES 14
4 DIFFERENTIABILITY 17
5 POWER SERIES 25
6 LOCALLY ANALYTIC FUNCTIONS 38
II MANIFOLDS 45
7 CHARTS AND ATLASES 45
8 MANIFOLDS 47
9 THE TANGENT SPACE 56
10 THE TOPOLOGICAL VECTOR SPACE C AN (M,E), PART 1 74
11 LOCALLY CONVEX K- VECTOR SPACES 79
12 THE TOPOLOGICAL VECTOR SPACE C ATL (M,E), PART 2 84
III LIE GROUPS 89
13 DEFINITIONS AND FOUNDATIONS 89
14 THE UNIVERSAL ENVELOPING ALGEBRA 101
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/101128846X
DIGITALISIERT DURCH
IMAGE 2
X CONTENTS
15 THE CONCEPT OF FREE ALGEBRAS 106
16 THE CAMPBELL-HAUSDORFF FORMULA 111
17 THE CONVERGENCE OF THE HAUSDORFF SERIES 124
18 FORMAL GROUP LAWS 132
B THE ALGEBRAIC THEORY OF P-ADIC LIE GROUPS 155
IV PRELIMINARIES 157
19 COMPLETED GROUP RINGS 157
20 THE EXAMPLE OF THE GROUP 7L D V 163
21 CONTINUOUS DISTRIBUTIONS 164
22 APPENDIX: PSEUDOCOMPACT RINGS 165
V P- VALUED PRO-P-GROUPS 169
23 P- VALUATIONS 169
24 THE FREE GROUP ON TWO GENERATORS 175
25 THE OPERATOR P 178
26 FINITE RANK PRO-P-GROUPS 181
27 COMPACT P-ADIC LIE GROUPS 192
VI COMPLETED GROUP RINGS OF P- VALUED GROUPS 195
28 THE RING FILTRATION 195
29 ANALYTICITY 201
30 SATURATION 208
IMAGE 3
CONTENTS XI
VII THE LIE ALGEBRA 219
31 A NORMED LIE ALGEBRA 219
32 THE HAUSDORFF SERIES 232
33 RATIONAL P-VALUATIONS AND APPLICATIONS 243
34 COORDINATES OF THE FIRST AND OF THE SECOND KIND 247
REFERENCES 251
INDEX 253 |
| any_adam_object | 1 |
| author | Schneider, Peter 1953- |
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| author_facet | Schneider, Peter 1953- |
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| author_variant | p s ps |
| building | Verbundindex |
| bvnumber | BV039127570 |
| classification_rvk | SI 990 SK 180 SK 340 |
| ctrlnum | (OCoLC)745496976 (DE-599)DNB101128846X |
| dewey-full | 512.482 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.482 |
| dewey-search | 512.482 |
| dewey-sort | 3512.482 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-20T11:14:06Z |
| institution | BVB |
| isbn | 9783642268663 9783642211461 3642211461 |
| language | English |
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| physical | XI, 254 Seiten Diagramme |
| publishDate | 2011 |
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| series | Grundlehren der mathematischen Wissenschaften |
| series2 | Grundlehren der mathematischen Wissenschaften |
| spelling | Schneider, Peter 1953- Verfasser (DE-588)1013768965 aut p-adic Lie groups Peter Schneider Berlin ; Heidelberg Springer 2011 © 2011 XI, 254 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Grundlehren der mathematischen Wissenschaften 344 p-adische Lie-Gruppe (DE-588)4398268-2 gnd rswk-swf p-adische Lie-Gruppe (DE-588)4398268-2 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-21147-8 Grundlehren der mathematischen Wissenschaften 344 (DE-604)BV000000395 344 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3713543&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024145991&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schneider, Peter 1953- p-adic Lie groups Grundlehren der mathematischen Wissenschaften p-adische Lie-Gruppe (DE-588)4398268-2 gnd |
| subject_GND | (DE-588)4398268-2 |
| title | p-adic Lie groups |
| title_auth | p-adic Lie groups |
| title_exact_search | p-adic Lie groups |
| title_full | p-adic Lie groups Peter Schneider |
| title_fullStr | p-adic Lie groups Peter Schneider |
| title_full_unstemmed | p-adic Lie groups Peter Schneider |
| title_short | p-adic Lie groups |
| title_sort | p adic lie groups |
| topic | p-adische Lie-Gruppe (DE-588)4398268-2 gnd |
| topic_facet | p-adische Lie-Gruppe |
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