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Mutation classes of skew-symmetric 3x3-matrices

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Type
Preprint
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Submission Date
Identifiers
arXiv ID: math/0610627
Source
arXiv
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Unknown
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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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