English

Perverse equivalence in $SL(2,q)$

Representation Theory 2020-03-03 v1

Abstract

We will be defining a type of perverse equivalence that always corresponds to a derived equivalence with two-term tilting complexes. We are going to show that the tilting considered by Okuyama and Yoshii for the proof of Brou\'e's conjecture for SL(2,q)SL(2,q) in defining characteristic is a composition of such perverse equivalences.

Cite

@article{arxiv.2003.00595,
  title  = {Perverse equivalence in $SL(2,q)$},
  author = {William Wong},
  journal= {arXiv preprint arXiv:2003.00595},
  year   = {2020}
}

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R2 v1 2026-06-23T13:59:35.447Z