Involutory reflection groups and their models

Details Involutory reflection groups and their models Involutory reflection groups and their models

2009-05-22

arxiv.org/abs/0905.3649v1

Mathematics

Combinatorics

24 pages

Scientific paper

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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