Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 29-43 |
| Seitenumfang | 15 |
| Fachzeitschrift | Glasgow mathematical journal |
| Jahrgang | 49 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - Jan. 2007 |
| Extern publiziert | Ja |
Abstract
Except for blocks with a cyclic or Klein four defect group, it is not known in general whether the Morita equivalence class of a block algebra over a field of prime characteristic determines that of the corresponding block algebra over a padic ring. We prove this to be the case when the defect group is quaternion of order 8 and the block algebra over an algebraically closed field k of characteristic 2 is Morita equivalent to kÃ4. The main ingredients are Erdmann's classification of tame blocks [6] and work of Cabanes and Picaronny [4, 5] on perfect isometrics between tame blocks.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
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in: Glasgow mathematical journal, Jahrgang 49, Nr. 1, 01.2007, S. 29-43.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Blocks with a quaternion defect group over a 2-adic ring
T2 - The case Ã4
AU - Holm, Thorsten
AU - Kessar, Radha
AU - Linckelmann, Markus
PY - 2007/1
Y1 - 2007/1
N2 - Except for blocks with a cyclic or Klein four defect group, it is not known in general whether the Morita equivalence class of a block algebra over a field of prime characteristic determines that of the corresponding block algebra over a padic ring. We prove this to be the case when the defect group is quaternion of order 8 and the block algebra over an algebraically closed field k of characteristic 2 is Morita equivalent to kÃ4. The main ingredients are Erdmann's classification of tame blocks [6] and work of Cabanes and Picaronny [4, 5] on perfect isometrics between tame blocks.
AB - Except for blocks with a cyclic or Klein four defect group, it is not known in general whether the Morita equivalence class of a block algebra over a field of prime characteristic determines that of the corresponding block algebra over a padic ring. We prove this to be the case when the defect group is quaternion of order 8 and the block algebra over an algebraically closed field k of characteristic 2 is Morita equivalent to kÃ4. The main ingredients are Erdmann's classification of tame blocks [6] and work of Cabanes and Picaronny [4, 5] on perfect isometrics between tame blocks.
UR - http://www.scopus.com/inward/record.url?scp=34248995875&partnerID=8YFLogxK
U2 - 10.1017/S0017089507003394
DO - 10.1017/S0017089507003394
M3 - Article
AN - SCOPUS:34248995875
VL - 49
SP - 29
EP - 43
JO - Glasgow mathematical journal
JF - Glasgow mathematical journal
SN - 0017-0895
IS - 1
ER -