The centralizer of a Coxeter element

authored by

Ruwen Hollenbach, Patrick Wegener

Abstract

We prove that the centralizer of a Coxeter element in an irreducible Coxeter group is the cyclic group generated by that Coxeter element.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

Type

Article

Journal

Bulletin of the London Mathematical Society

Volume

54

Pages

682-693

No. of pages

12

ISSN

0024-6093

Publication date

20.04.2022

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Mathematics(all)

Electronic version(s)

https://arxiv.org/abs/1912.01529 (Access: Open)
https://doi.org/10.1112/blms.12596 (Access: Open)
https://doi.org/10.15488/12883 (Access: Open)