Perfect Isometries Between Blocks of Complex Reflection Groups

2018/08/08 by Brunat, Olivier, Gramain, Jean-Baptiste
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1808.02869

Abstract

In this paper, we prove that, given any integers d, e, r and r', and a prime p not dividing de, any two blocks of the complex reflection groups G(de,e,r) and G(de,e,r') with the same p-weight are perfectly isometric.

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