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Fusion algebras for imprimitive complex reflection groups

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arxiv math/0610842 v1 pith:ATNKZXZW submitted 2006-10-27 math.RT

Michael Cuntz This is my paper · ORCID
classification math.RT
keywords algebrasdefinecomplexconstantsfourierfusiongroupsimprimitive
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We prove that the Fourier matrices for the imprimitive complex reflection groups introduced by Malle define fusion algebras with not necessarily positive but integer structure constants. Hence they define Z-algebras. As a result, we obtain that all known Fourier matrices belonging to spetses define algebras with integer structure constants.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 7 citations worldwide. Full citation record

  1. On Hecke and asymptotic categories for a family of complex reflection groups

    math.RT 2024-09 unverdicted novelty 6.0 of 10

    Constructs Hecke algebras and asymptotic versions for G(M,M,N) complex reflection groups by generalizing the dihedral case.

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