Year: 2012
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Seven, Ahmet
Institution: Middle East Technical University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2952266370