Fusion algebras for imprimitive complex reflection groups
Representation Theory
2007-06-13 v1
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.
Keywords
Cite
@article{arxiv.math/0610842,
title = {Fusion algebras for imprimitive complex reflection groups},
author = {Michael Cuntz},
journal= {arXiv preprint arXiv:math/0610842},
year = {2007}
}
Comments
14 pages