Details
| Original language | English |
|---|---|
| Pages (from-to) | 465-469 |
| Number of pages | 5 |
| Journal | Algebraic Combinatorics |
| Volume | 3 |
| Issue number | 2 |
| Publication status | Published - 4 Jan 2020 |
| Externally published | Yes |
Abstract
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.
Keywords
- Coxeter element, Coxeter groups, Hurwitz action, Reflection factorizations
ASJC Scopus subject areas
- Mathematics(all)
- Discrete Mathematics and Combinatorics
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In: Algebraic Combinatorics, Vol. 3, No. 2, 04.01.2020, p. 465-469.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A note on non-reduced reflection factorizations of Coxeter elements
AU - Wegener, Patrick
AU - Yahiatene, Sophiane
PY - 2020/1/4
Y1 - 2020/1/4
N2 - 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.
AB - 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.
KW - Coxeter element
KW - Coxeter groups
KW - Hurwitz action
KW - Reflection factorizations
UR - http://www.scopus.com/inward/record.url?scp=85090528551&partnerID=8YFLogxK
U2 - 10.5802/alco.99
DO - 10.5802/alco.99
M3 - Article
VL - 3
SP - 465
EP - 469
JO - Algebraic Combinatorics
JF - Algebraic Combinatorics
IS - 2
ER -