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

2018/10/31 by Christina Boura, Eirini Chavli, Boura, Christina +3 · 1 citation
Chemistry · Mathematics · #20C08 #20C40 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Molecular spectroscopy and chirality #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1810.13370

openalex publication_date 2018/10/31 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28

Abstract

We prove the symmetrising trace conjecture of Brou 'e, Malle and Michel for\nthe generic Hecke algebra associated to the exceptional irreducible complex\nreflection group G₁₃. Our result completes the proof of the conjecture for\nthe exceptional 2-reflection groups of rank 2.\n

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• Intersections of blocks of cyclotomic Hecke algebras

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