Mutation classes of skew-symmetric 3x3-matrices

Ibrahim Assem; Martin Blais; Thomas Brüstle; Audrey Samson

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Mutation classes of skew-symmetric 3x3-matrices

Ibrahim Assem·Martin Blais·Thomas Brüstle·Audrey Samson

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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.

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BibTeX RIS

Ibrahim Assem, Martin Blais, Thomas Brüstle, Audrey Samson. 2006-10-20. Mutation classes of skew-symmetric 3x3-matrices. https://arxiv.org/abs/math/0610627

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