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arXiv · 0905.3649

Involutory reflection groups and their models

Fabrizio Caselli
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Abstract

A finite subgroup of $GL(n,\mathbb C)$ is involutory if the sum of the dimensions of its irreducible complex representations is given by the number of absolute involutions in the group. A uniform combinatorial model is constructed for all non-exceptional irreducible complex reflection groups which are involutory including, in particular, all infinite families of finite irreducible Coxeter groups.

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Fabrizio Caselli. 2009-05-22. Involutory reflection groups and their models. https://arxiv.org/abs/0905.3649

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