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Wild blocks of type A Hecke algebras are strictly wild

2024/08/29 by Speyer, Liron
#20C08 (Primary) 05E10 16G10 16G60 (Secondary) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2408.16477

Abstract

We prove that all wild blocks of type A Hecke algebras with quantum characteristic e \geqslant 3 -- i.e. blocks of weight at least 2 -- are strictly wild, with the possible exception of the weight 2 Rouquier block for e = 3. As a corollary, we show that for e \geqslant 3, all wild blocks of the q-Schur algebras are strictly wild, without exception.

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