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 p-adic 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 kÃ44. The main ingredients are Erdmann's classification of tame blocks [6] and work of Cabanes and Picaronny [4, 5] on perfect isometries between tame blocks.
Original language | English |
---|---|
Pages (from-to) | 29-43 |
Number of pages | 15 |
Journal | Glasgow Mathematical Journal |
Volume | 49 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2007 |