Hurwitz Actions on Reflection Factorizations in Complex Reflection Group $G_6$
Combinatorics
2022-02-07 v1
Abstract
We show that in the complex reflection group , reflection factorizations of a Coxeter element that have the same length and multiset of conjugacy classes are in the same Hurwitz orbit. This confirms one case of a conjecture of Lewis and Reiner.
Keywords
Cite
@article{arxiv.2002.05102,
title = {Hurwitz Actions on Reflection Factorizations in Complex Reflection Group $G_6$},
author = {Gaurav Gawankar and Dounia Lazreq and Mehr Rai and Seth Sabar},
journal= {arXiv preprint arXiv:2002.05102},
year = {2022}
}
Comments
14 pages