Mutation classes of skew-symmetrizable 3x3 matrices
Combinatorics
2011-10-06 v2 Representation Theory
Abstract
In this paper, we determine representatives for the mutation classes of skew-symmetrizable 3x3 matrices and associated graphs using a natural minimality condition, generalizing and strengthening results of Beineke-Brustle-Hille and Felikson-Shapiro-Tumarkin. Furthermore, we obtain a new numerical invariant for the mutation operation on skew-symmetrizable matrices of arbitrary size.
Keywords
Cite
@article{arxiv.1012.3318,
title = {Mutation classes of skew-symmetrizable 3x3 matrices},
author = {Ahmet Seven},
journal= {arXiv preprint arXiv:1012.3318},
year = {2011}
}
Comments
12 pages, minor corrections; final version to appear in Proc.Amer.Math.Soc