A note on non-reduced reflection factorizations of Coxeter elements
Combinatorics
2019-01-18 v1 Group Theory
Abstract
We extend a result of Lewis and Reiner from finite Coxeter groups to all Coxeter groups by showing that two reflection factorizations of a Coxeter element lie in the same Hurwitz orbit if and only if they share the same multiset of conjugacy classes.
Keywords
Cite
@article{arxiv.1901.05781,
title = {A note on non-reduced reflection factorizations of Coxeter elements},
author = {Patrick Wegener and Sophiane Yahiatene},
journal= {arXiv preprint arXiv:1901.05781},
year = {2019}
}
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