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Fusion algebras for imprimitive complex reflection groups

Michael Cuntz
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Abstract

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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Michael Cuntz. 2006-10-27. Fusion algebras for imprimitive complex reflection groups. https://doi.org/10.1016/j.jalgebra.2006.10.027

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