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arXiv · 1710.06694

On the Hurwitz action in affine Coxeter groups

Patrick Wegener
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Abstract

We show that for a parabolic quasi-Coxeter element in an affine Coxeter group the Hurwitz action on its set of reduced factorizations into a product of reflections is transitive. We call an element of the Coxeter group parabolic quasi-Coxeter element if it has a reduced factorization into a product of reflections that generate a parabolic subgroup.

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Patrick Wegener. 2017-10-18. On the Hurwitz action in affine Coxeter groups. https://arxiv.org/abs/1710.06694

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