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Strongly primitive species with potentials I: Mutations by Labardini-Fragoso, Daniel; Zelevinsky, Andrei is a scholarly article available to read on EtoBox.

What is Strongly primitive species with potentials I: Mutations about?

Motivated by the mutation theory of quivers with potentials developed by Derksen-Weyman-Zelevinsky, and the representation-theoretic approach to cluster algebras it provides, we propose a mutation theory of species with potentials for species that arise from skew-symmetrizable matrices that admit a skew-symmetrizer with pairwise coprime diagonal entries. The class of skew-symmetrizable matrices covered by the mutation theory proposed here contains a class of matrices that do not admit global unfoldings, that is, unfoldings compatible with all possible sequences of mutations.

Author

Labardini-Fragoso, Daniel; Zelevinsky, Andrei

Published

2013

Language

EN