Frobenius Categories versus Brauer Blocks: the Grothendieck Group of the Frobenius Category of a Brauer Block
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2009
|
| Ausgabe: | 1. Ed. |
| Schriftenreihe: | Progress in Mathematics
274 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 498 S. 235 mm x 155 mm |
| ISBN: | 9783764399979 |
Internformat
MARC
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| 100 | 1 | |a Puig, Lluís |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Frobenius Categories versus Brauer Blocks |b the Grothendieck Group of the Frobenius Category of a Brauer Block |c Lluis Puig |
| 250 | |a 1. Ed. | ||
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2009 | |
| 300 | |a 498 S. |c 235 mm x 155 mm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in Mathematics |v 274 | |
| 650 | 4 | |a Endliche Gruppe - Darstellungstheorie | |
| 650 | 4 | |a Brauer groups | |
| 650 | 4 | |a Finite groups | |
| 650 | 4 | |a Frobenius algebras | |
| 650 | 4 | |a Frobenius groups | |
| 650 | 4 | |a Grothendieck groups | |
| 650 | 4 | |a Representations of groups | |
| 650 | 0 | 7 | |a Darstellungstheorie |0 (DE-588)4148816-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Endliche Gruppe |0 (DE-588)4014651-0 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Darstellungstheorie |0 (DE-588)4148816-7 |D s |
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| 830 | 0 | |a Progress in Mathematics |v 274 |w (DE-604)BV000004120 |9 274 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-017188466 | ||
Datensatz im Suchindex
| _version_ | 1804138715186987008 |
|---|---|
| adam_text | Contents
Introduction
...................................................... 1
1 General
notation
and quoted results
............................... 15
2
Frobenius P-categories: the first definition
........................ 27
3
The Frobenius P-category of a block
.............................. 39
4
Nilcentralized, selfcentralizing and intersected objects
in Frobenius P-categories
.................................. 47
5
Alperin fusions in Frobenius P-categories
.......................... 57
6
Exterior quotient of a Frobenius P-category
over the selfcentralizing objects
............................. 73
7
Nilcentralized and selfcentralizing
Brauer
pairs in blocks
........... 93
8
Decompositions for
Dade
P-algebras
..............................103
9
Polarizations for
Dade
P-algebras
.................................117
10
A gluing theorem for
Dade
P-algebras
............................137
11
The nilcentralized chain k*-functor of a block
......................151
12
Quotients and normal subcategories in Frobenius P-categories
.....179
13
The hyperfocal subcategory of a Frobenius P-category
.............195
14
The Grothendieck groups of a Frobenius P-category
...............211
15
Reduction results for Grothendieck groups
........................241
16
The local-global question: reduction to the simple groups
..........287
17
Localities associated with a Frobenius P-category
.................319
18
The localizers in a Frobenius P-category
..........................333
19
Solvability for Frobenius P-categories
.............................361
20
A perfect ^ -locality from a perfect
.F*
-locality
....................369
21
Frobenius P-categories: the second definition
......................389
22
The basic ^-locality
..............................................397
23
Narrowing the basic ^ -locality
..................................409
24
Looking for a perfect ^ -locality
.................................437
Appendix
.........................................................449
References
........................................................489
Index
.............................................................493
|
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| classification_rvk | SA 1055 SK 260 |
| ctrlnum | (OCoLC)297148429 (DE-599)DNB991246039 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. Ed. |
| format | Book |
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| id | DE-604.BV035384249 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:32:35Z |
| institution | BVB |
| isbn | 9783764399979 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017188466 |
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| physical | 498 S. 235 mm x 155 mm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in Mathematics |
| series2 | Progress in Mathematics |
| spelling | Puig, Lluís Verfasser aut Frobenius Categories versus Brauer Blocks the Grothendieck Group of the Frobenius Category of a Brauer Block Lluis Puig 1. Ed. Basel [u.a.] Birkhäuser 2009 498 S. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Progress in Mathematics 274 Endliche Gruppe - Darstellungstheorie Brauer groups Finite groups Frobenius algebras Frobenius groups Grothendieck groups Representations of groups Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 s Darstellungstheorie (DE-588)4148816-7 s DE-604 Progress in Mathematics 274 (DE-604)BV000004120 274 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017188466&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Puig, Lluís Frobenius Categories versus Brauer Blocks the Grothendieck Group of the Frobenius Category of a Brauer Block Progress in Mathematics Endliche Gruppe - Darstellungstheorie Brauer groups Finite groups Frobenius algebras Frobenius groups Grothendieck groups Representations of groups Darstellungstheorie (DE-588)4148816-7 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| subject_GND | (DE-588)4148816-7 (DE-588)4014651-0 |
| title | Frobenius Categories versus Brauer Blocks the Grothendieck Group of the Frobenius Category of a Brauer Block |
| title_auth | Frobenius Categories versus Brauer Blocks the Grothendieck Group of the Frobenius Category of a Brauer Block |
| title_exact_search | Frobenius Categories versus Brauer Blocks the Grothendieck Group of the Frobenius Category of a Brauer Block |
| title_full | Frobenius Categories versus Brauer Blocks the Grothendieck Group of the Frobenius Category of a Brauer Block Lluis Puig |
| title_fullStr | Frobenius Categories versus Brauer Blocks the Grothendieck Group of the Frobenius Category of a Brauer Block Lluis Puig |
| title_full_unstemmed | Frobenius Categories versus Brauer Blocks the Grothendieck Group of the Frobenius Category of a Brauer Block Lluis Puig |
| title_short | Frobenius Categories versus Brauer Blocks |
| title_sort | frobenius categories versus brauer blocks the grothendieck group of the frobenius category of a brauer block |
| title_sub | the Grothendieck Group of the Frobenius Category of a Brauer Block |
| topic | Endliche Gruppe - Darstellungstheorie Brauer groups Finite groups Frobenius algebras Frobenius groups Grothendieck groups Representations of groups Darstellungstheorie (DE-588)4148816-7 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| topic_facet | Endliche Gruppe - Darstellungstheorie Brauer groups Finite groups Frobenius algebras Frobenius groups Grothendieck groups Representations of groups Darstellungstheorie Endliche Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017188466&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT puiglluis frobeniuscategoriesversusbrauerblocksthegrothendieckgroupofthefrobeniuscategoryofabrauerblock |