arXiv Analytics

Sign in

arXiv:2001.08238 [math.CO]AbstractReferencesReviewsResources

A note on the Hurwitz action in complex reflection groups

Joel Brewster Lewis

Published 2020-01-22Version 1

We show that the Hurwitz action is "as transitive as possible" on reflection factorizations of Coxeter elements in the well-generated complex reflection groups $G(d, 1, n)$ (the group of $d$-colored permutations) and $G(d, d, n)$.

Comments: 10 pages
Categories: math.CO, math.GR
Related articles: Most relevant | Search more
arXiv:1211.2789 [math.CO] (Published 2012-11-12, updated 2014-09-15)
Counting factorizations of Coxeter elements into products of reflections
arXiv:0711.1140 [math.CO] (Published 2007-11-07, updated 2007-11-12)
On Enumeration of Conjugacy Classes of Coxeter Elements
arXiv:1111.1657 [math.CO] (Published 2011-11-07, updated 2012-08-28)
Polyhedral models for generalized associahedra via Coxeter elements

Links

Toolbox