Reflection group relations arising from cluster algebras
Combinatorics
2014-04-04 v5
Abstract
In this paper, we obtain relations in the Weyl groups of Kac-Moody algebras that come from mutation classes of skew-symmetrizable matrices. These relations generalize those obtained by Barot and Marsh for finite type. As an application, we obtain some combinatorial properties of the mutation classes of skew-symmetrizable matrices.
Cite
@article{arxiv.1210.6217,
title = {Reflection group relations arising from cluster algebras},
author = {Ahmet Seven},
journal= {arXiv preprint arXiv:1210.6217},
year = {2014}
}
Comments
10 pages; minor changes