Perverse Equivalences and Broué's Conjecture

Details Perverse Equivalences and Broué's Conjecture Perverse Equivalences and Broué's Conjecture

2010-10-07

arxiv.org/abs/1010.1378v1

Mathematics

Representation Theory

50 pages

Scientific paper

We give a new approach to the construction of derived equivalences between blocks of finite groups, based on perverse equivalences, in the setting of Brou\'e's conjecture. We provide in particular local and global perversity data describing the principal blocks and the derived equivalences for a number of finite simple groups with Sylow subgroups C3xC3. We also examine extensions to automorphism groups in a general setting.

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