The BMM Symmetrising Trace Conjecture for Families of Complex Reflection Groups of Rank Two

2025/03/07 by Chavli, Eirini, Pfeiffer, Götz · 1 citation
#FOS: Mathematics #Primary 20C08 #Representation Theory (math.RT) #Secondary 20F55

paper · doi:10.48550/arxiv.2503.05259

Abstract

The exceptional complex reflection groups of rank 2 are partitioned into three families. We construct explicit matrix models for the Hecke algebras associated to the maximal groups in the tetrahedral and octahedral family, and use them to verify the BMM symmetrising trace conjecture for all groups in these two families, providing evidence that a similar strategy might apply for the icosahedral family.

Cited by

• Intersections of blocks of cyclotomic Hecke algebras

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• The BMM symmetrising trace conjecture for the exceptional 2-reflection\n groups of rank 2
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