I'd like to talk about irreducible Specht modules over Iwahori-Hecke algebras of type A at roots of 1. As in S. Lyle's talk, the following> question isn't settled yet:
When is a Specht module irreducible?
M. Fayers made a good progress on this problem using so-called Rouquier blocks decomposition numbers, determined by Chuang-Tan and Leclerc-Miyachi.
Along this Fayers's approach, James, Lyle and Mathas proceed its analogue in some mixed cases.
We provide a new approach to find some irreducible Specht modules over Iwahori-Hecke algebras of type A at roots of 1 in characteristic zero.
Our approach here is based on [1] Lusztig's divided power quantum groups at roots of 1 in characteristic zero and [2] endomorphism ring structures of some Young modules.
(Organized by D.Hemmer, S.Lyle)
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