Fusion algebras for imprimitive complex reflection groups

Details Fusion algebras for imprimitive complex reflection groups Fusion algebras for imprimitive complex reflection groups

2006-10-27

arxiv.org/abs/math/0610842v1

Mathematics

Representation Theory

14 pages

Scientific paper

10.1016/j.jalgebra.2006.10.027

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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