ALGEBRAIC COMBINATORICS

no. 2
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.

Received: 2019-01-21
Revised: 2019-06-25
Accepted: 2019-09-24
Published online: 2020-04-01
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},
     publisher = {MathOA foundation},
     volume = {3},
     number = {2},
     year = {2020},
     pages = {465-469},
     doi = {10.5802/alco.99},
     language = {en},
     url={alco.centre-mersenne.org/item/ALCO_2020__3_2_465_0/}
}
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/item/ALCO_2020__3_2_465_0/

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