# ALGEBRAIC COMBINATORICS

A note on non-reduced reflection factorizations of Coxeter elements
Algebraic Combinatorics, Volume 3 (2020) no. 2, pp. 465-469.

We extend a result of Lewis and Reiner from finite Coxeter groups to Coxeter groups of finite rank 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.

Revised:
Accepted:
Published online:
DOI: https://doi.org/10.5802/alco.99
Classification: 05E15,  05E18,  20F55
Keywords: Coxeter groups, Hurwitz action, reflection factorizations, Coxeter element
@article{ALCO_2020__3_2_465_0,
author = {Wegener, Patrick and Yahiatene, Sophiane},
title = {A note on non-reduced reflection factorizations of Coxeter elements},
journal = {Algebraic Combinatorics},
pages = {465--469},
publisher = {MathOA foundation},
volume = {3},
number = {2},
year = {2020},
doi = {10.5802/alco.99},
language = {en},
url = {https://alco.centre-mersenne.org/articles/10.5802/alco.99/}
}
Wegener, Patrick; Yahiatene, Sophiane. A note on non-reduced reflection factorizations of Coxeter elements. Algebraic Combinatorics, Volume 3 (2020) no. 2, pp. 465-469. doi : 10.5802/alco.99. https://alco.centre-mersenne.org/articles/10.5802/alco.99/

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