Isoparametric hypersurfaces with a homogeneous focal manifold:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
2002
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Würzburg, Univ., Diss., 2002 |
Beschreibung: | X, 84 S. |
Internformat
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Datensatz im Suchindex
_version_ | 1816444941562281984 |
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adam_text |
CONTENTS
PREFACE III
INTRODUCTION VII
1 LIE GROUPS AND TOPOLOGY 1
1.1 THE RANK. 2
1.2 DEGREE MULTISETS . 5
1.3 REPRESENTATION THEORY . 10
1.4 HOMOGENEOUS SPACES. 12
1.5 GRADED MODULES AND SPECTRAL SEQUENCES. 13
1.6 MAXIMAL SUBGROUPS OF THE SIMPLE COMPACT CONNECTED LIE GROUPS 16
2 PRODUCT COHOMOLOGY 17
2.1 RATIONAL COHOMOLOGY. 18
2.2 PRODUCTS. 20
2.3 CASES EXCLUDED BY SPECTRAL SEQUENCES. 21
2.4 CASES EXCLUDED BY THE GYSIN EXACT SEQUENCE. 25
2.5 SUMMARY: THE CLASSIFICATION RESULT.33
3 TRUNCATED POLYNOMIAL COHOMOLOGY 35
3.1 CALCULATION OF THE DEGREE MULTISETS.35
3.2 THE GROUPS .40
3.3 THE CLASSIFICATION RESULT. 41
3.4 GROUP EMBEDDINGS. 44
4 ISOPARAMETRIC HYPERSURFACES 47
4.1 GEOMETRIC AND TOPOLOGICAL PROPERTIES.48
4.2 THE CLASSIFICATION RESULTS.51
4.3 THE CORRESPONDING BUILDINGS.53
4.4 CLASSICAL EXAMPLES . 56
V
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/967128803
VI
CONTENTS
5 HOMOGENEOUS FOCAL MANIFOLDS 59
5.1 GROUP ACTIONS I: THE FIRST FACTOR.60
5.2 GROUP ACTIONS II: THE SPHERICAL FACTOR.64
5.3 THE RIGHT ORBIT.67
5.4 FOCAL MANIFOLDS OF POSITIVE CHARACTERISTIC.70
BIBLIOGRAPHY 73
NOTATION 79
INDEX 81 |
any_adam_object | 1 |
author | Wolfrom, Martin |
author_facet | Wolfrom, Martin |
author_role | aut |
author_sort | Wolfrom, Martin |
author_variant | m w mw |
building | Verbundindex |
bvnumber | BV014821603 |
ctrlnum | (OCoLC)643100080 (DE-599)BVBBV014821603 |
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illustrated | Not Illustrated |
indexdate | 2024-11-22T17:34:47Z |
institution | BVB |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010029238 |
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physical | X, 84 S. |
publishDate | 2002 |
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spelling | Wolfrom, Martin Verfasser aut Isoparametric hypersurfaces with a homogeneous focal manifold von Martin Wolfrom 2002 X, 84 S. txt rdacontent n rdamedia nc rdacarrier Würzburg, Univ., Diss., 2002 Isoparametrische Hyperfläche (DE-588)4704530-9 gnd rswk-swf Sphäre (DE-588)4182221-3 gnd rswk-swf Homogener Raum (DE-588)4025787-3 gnd rswk-swf Fokalmannigfaltigkeit (DE-588)4739603-9 gnd rswk-swf Kompakte Lie-Gruppe (DE-588)4164846-8 gnd rswk-swf Kohomologie (DE-588)4031700-6 gnd rswk-swf Klassifikation (DE-588)4030958-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Isoparametrische Hyperfläche (DE-588)4704530-9 s Sphäre (DE-588)4182221-3 s Fokalmannigfaltigkeit (DE-588)4739603-9 s Klassifikation (DE-588)4030958-7 s DE-604 Homogener Raum (DE-588)4025787-3 s Kompakte Lie-Gruppe (DE-588)4164846-8 s Kohomologie (DE-588)4031700-6 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010029238&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Wolfrom, Martin Isoparametric hypersurfaces with a homogeneous focal manifold Isoparametrische Hyperfläche (DE-588)4704530-9 gnd Sphäre (DE-588)4182221-3 gnd Homogener Raum (DE-588)4025787-3 gnd Fokalmannigfaltigkeit (DE-588)4739603-9 gnd Kompakte Lie-Gruppe (DE-588)4164846-8 gnd Kohomologie (DE-588)4031700-6 gnd Klassifikation (DE-588)4030958-7 gnd |
subject_GND | (DE-588)4704530-9 (DE-588)4182221-3 (DE-588)4025787-3 (DE-588)4739603-9 (DE-588)4164846-8 (DE-588)4031700-6 (DE-588)4030958-7 (DE-588)4113937-9 |
title | Isoparametric hypersurfaces with a homogeneous focal manifold |
title_auth | Isoparametric hypersurfaces with a homogeneous focal manifold |
title_exact_search | Isoparametric hypersurfaces with a homogeneous focal manifold |
title_full | Isoparametric hypersurfaces with a homogeneous focal manifold von Martin Wolfrom |
title_fullStr | Isoparametric hypersurfaces with a homogeneous focal manifold von Martin Wolfrom |
title_full_unstemmed | Isoparametric hypersurfaces with a homogeneous focal manifold von Martin Wolfrom |
title_short | Isoparametric hypersurfaces with a homogeneous focal manifold |
title_sort | isoparametric hypersurfaces with a homogeneous focal manifold |
topic | Isoparametrische Hyperfläche (DE-588)4704530-9 gnd Sphäre (DE-588)4182221-3 gnd Homogener Raum (DE-588)4025787-3 gnd Fokalmannigfaltigkeit (DE-588)4739603-9 gnd Kompakte Lie-Gruppe (DE-588)4164846-8 gnd Kohomologie (DE-588)4031700-6 gnd Klassifikation (DE-588)4030958-7 gnd |
topic_facet | Isoparametrische Hyperfläche Sphäre Homogener Raum Fokalmannigfaltigkeit Kompakte Lie-Gruppe Kohomologie Klassifikation Hochschulschrift |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010029238&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT wolfrommartin isoparametrichypersurfaceswithahomogeneousfocalmanifold |