English

On Rouquier Blocks for Finite Classical Groups at Linear Primes

Representation Theory 2012-10-09 v1

Abstract

H. Miyachi and W. Turner have independently proved that Broue's Abelian Defect Group Conjecture holds for certain unipotent blocks of the finite general linear group, the so-called Rouquier blocks. This together with A. Marcus and J. Chuang and R. Rouquier proves that the conjecture holds for all blocks of such groups. We prove that other finite classical groups also possess unipotent Rouquier blocks at linear primes.

Keywords

Cite

@article{arxiv.1210.2225,
  title  = {On Rouquier Blocks for Finite Classical Groups at Linear Primes},
  author = {Michael Livesey},
  journal= {arXiv preprint arXiv:1210.2225},
  year   = {2012}
}

Comments

40 pages

R2 v1 2026-06-21T22:17:55.401Z