Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4655053 | Journal of Combinatorial Theory, Series A | 2016 | 35 Pages |
Abstract
Let (W,S)(W,S) be a Coxeter system and let s∈Ss∈S. We call s a right-angled generator of (W,S)(W,S) if st=tsst=ts or st has infinite order for each t∈St∈S. We call s an intrinsic reflection of W if s∈RWs∈RW for all Coxeter generating sets R of W . We give necessary and sufficient conditions for a right-angled generator s∈Ss∈S of (W,S)(W,S) to be an intrinsic reflection of W.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Bernhard Mühlherr, Koji Nuida,