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arxiv: math/0610842 · v1 · submitted 2006-10-27 · 🧮 math.RT

Fusion algebras for imprimitive complex reflection groups

Michael Cuntz This is my paper
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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  1. On Hecke and asymptotic categories for a family of complex reflection groups

    math.RT 2024-09 unverdicted novelty 6.0

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