Proof of the Broué-Malle-Rouquier conjecture in characteristic zero (after I. Losev and I. Marin - G. Pfeiffer)

2016/06/27 by Etingof, Pavel
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1606.08456

Abstract

In 1998 Broué, Malle and Rouquier conjectured that the Hecke algebra of a finite complex reflection group W is a free module over the algebra of parameters of rank |W|. We give an exposition of a proof of this conjecture in characteristic zero (and sufficiently large positive characteristic), due to I. Losev and I. Marin - G. Pfeiffer.

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