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arXiv · 2202.04463

Dual involutions in finite Coxeter groups

Marcus Zibrowius
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Abstract

There is a well-known classification of conjugacy classes of involutions in finite Coxeter groups, in terms of subsets of nodes of their Coxeter graphs. In many cases, the product of an involution with the longest element is again an involution. We identify the conjugacy class of this product involution in terms of said classification.

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Marcus Zibrowius. 2022-02-09. Dual involutions in finite Coxeter groups. https://arxiv.org/abs/2202.04463

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