Mutation classes of skew-symmetric 3x3-matrices
Representation Theory
2007-05-23 v1
Abstract
In this paper, we establish a bijection between the set of mutation classes of mutation-cyclic skew-symmetric integral 3x3-matrices and the set of triples of integers (a,b,c) which are all greater than 1 and where the product of the two smaller numbers is greater than or equal to the maximal number. We also give an algorithm allowing to verify whether a matrix is mutation-cyclic or not. We prove that these two cases are not intertwined.
Cite
@article{arxiv.math/0610627,
title = {Mutation classes of skew-symmetric 3x3-matrices},
author = {Ibrahim Assem and Martin Blais and Thomas Brüstle and Audrey Samson},
journal= {arXiv preprint arXiv:math/0610627},
year = {2007}
}