ALGEBRAIC COMBINATORICS

no. 2
A note on non-reduced reflection factorizations of Coxeter elements
Wegener, Patrick1; Yahiatene, Sophiane2
1 Technische Universität Kaiserslautern Fachbereich Mathematik Postfach 3049 67653 Kaiserslautern Germany
2 Universität Bielefeld Fakultät für Mathematik Postfach 100131 33501 Bielefeld Germany
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:
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.99
Classification: 05E15, 05E18, 20F55
Keywords: Coxeter groups, Hurwitz action, reflection factorizations, Coxeter element
Wegener, Patrick 1; Yahiatene, Sophiane 2

1 Technische Universität Kaiserslautern Fachbereich Mathematik Postfach 3049 67653 Kaiserslautern Germany
2 Universität Bielefeld Fakultät für Mathematik Postfach 100131 33501 Bielefeld Germany
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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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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