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arXiv · 1012.3318

Mutation classes of skew-symmetrizable 3x3 matrices

Ahmet Seven
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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.

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Ahmet Seven. 2011-10-05. Mutation classes of skew-symmetrizable 3x3 matrices. https://arxiv.org/abs/1012.3318

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