Blocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4

Details Blocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4 Blocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4

2005-12-06

arxiv.org/abs/math/0512125v1

Mathematics

Representation Theory

18 pages

Scientific paper

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 $k\tilde A_4$. The main ingredients are Erdmann's classification of tame blocks and work of Cabanes and Picaronny on perfect isometries between tame blocks.

Affiliated with

Also associated with

No associations

Rating

Blocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Blocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Blocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-697951