Mutation classes of skew-symmetric 3x3-matrices

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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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Representation Theory, 16G20

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http://salesiana.dossiersoluciones.com/handle/123456789/118037

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610627
 http://arxiv.org/abs/math/0610627

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arXiv