Classes unipotentes et sousgroupes de Borel:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York
Springer-Verlag
1982
|
| Series: | Lecture notes in mathematics
946 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 259 Seiten Diagramme |
| ISBN: | 3540115854 0387115854 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804114580311375872 |
|---|---|
| adam_text | TABLE DES MATIERES
0. Notations et rappels 1
CHAPITRE I. Classes unipotentes
1. Résultats généraux sur les classes unipotentes 8
2. Classification des éléments unipotents 16
3. Groupes de type D 30
4. Finitude du nombre de classes unipotentes 34
CHAPITRE II. Points fixes sur la variété des sous groupes de Borel
1. Equidimensionalité 42
2. Dimension de B et positions relatives 51
x
3. Induction 60
4. Sous groupes paraboliques contenant u 70
5. Le cas du groupe linéaire général 81
6. Le cas des groupes classiques 93
7. Induction dans les groupes classiques 120
8. Relation d ordre entre classes unipotentes 133
9. Relation d équivalence dans les groupes de Weyl 138
10. Groupes exceptionnels 144
11. Exemples 164
Appendice. Quelques résultats d A.G. Elashvili 171
CHAPITRE III. Dualité
1. One relation de dualité 178
2. Un critère d unicité 180
3. Sur la relation d ordre entre partitions 181
4. Le cas des groupes classiques (p^ 2) 185
5. Dépendance de X par rapport à p 189
6. Le cas de Sp (p=2) 195
7. Le cas de SO (p=2) 198
8. Le cas de S0o , (p=2) 207
2n+l
9. Le cas des groupes exceptionnels 209
10. Dépendance de d et X par rapport à W 210
11. Quelques relations supplémentaires 215
12. Généralisation de l induction 218
13. Généralisation de l induction (suite) 228
CHAPITRE IV. Tables
1. Composantes irréductibles de B pour les groupes classiques . 232
IX
2. Classes unipotentes des groupes exceptionnels 247
Références 251
Index 255
Liste des symboles 256
ADDENDUM Mai 4a82 Cavec références supplémentaires) 25B
|
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| author | Spaltenstein, Nicolas |
| author_facet | Spaltenstein, Nicolas |
| author_role | aut |
| author_sort | Spaltenstein, Nicolas |
| author_variant | n s ns |
| building | Verbundindex |
| bvnumber | BV000121963 |
| classification_rvk | SI 850 |
| classification_tum | MAT 129f MAT 209f |
| ctrlnum | (OCoLC)230419328 (DE-599)BVBBV000121963 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000121963 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:08:59Z |
| institution | BVB |
| isbn | 3540115854 0387115854 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000065950 |
| oclc_num | 230419328 |
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| physical | IX, 259 Seiten Diagramme |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Springer-Verlag |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Spaltenstein, Nicolas aut Classes unipotentes et sousgroupes de Borel Nicolas Spaltenstein Berlin ; Heidelberg ; New York Springer-Verlag 1982 IX, 259 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 946 Algebraische Gruppe (DE-588)4001164-1 gnd rswk-swf Borel-Menge (DE-588)4146323-7 gnd rswk-swf Borel-Untergruppe (DE-588)4146325-0 gnd rswk-swf Borel-Menge (DE-588)4146323-7 s Algebraische Gruppe (DE-588)4001164-1 s Borel-Untergruppe (DE-588)4146325-0 s 1\p DE-604 Erscheint auch als Online-Ausgabe 978-3-540-11585-4 Lecture notes in mathematics 946 (DE-604)BV000676446 946 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000065950&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Spaltenstein, Nicolas Classes unipotentes et sousgroupes de Borel Lecture notes in mathematics Algebraische Gruppe (DE-588)4001164-1 gnd Borel-Menge (DE-588)4146323-7 gnd Borel-Untergruppe (DE-588)4146325-0 gnd |
| subject_GND | (DE-588)4001164-1 (DE-588)4146323-7 (DE-588)4146325-0 |
| title | Classes unipotentes et sousgroupes de Borel |
| title_auth | Classes unipotentes et sousgroupes de Borel |
| title_exact_search | Classes unipotentes et sousgroupes de Borel |
| title_full | Classes unipotentes et sousgroupes de Borel Nicolas Spaltenstein |
| title_fullStr | Classes unipotentes et sousgroupes de Borel Nicolas Spaltenstein |
| title_full_unstemmed | Classes unipotentes et sousgroupes de Borel Nicolas Spaltenstein |
| title_short | Classes unipotentes et sousgroupes de Borel |
| title_sort | classes unipotentes et sousgroupes de borel |
| topic | Algebraische Gruppe (DE-588)4001164-1 gnd Borel-Menge (DE-588)4146323-7 gnd Borel-Untergruppe (DE-588)4146325-0 gnd |
| topic_facet | Algebraische Gruppe Borel-Menge Borel-Untergruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000065950&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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