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Laurent expansions in cluster algebras via quiver representations

Philippe Caldero·Andrei Zelevinsky
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Abstract

We study Laurent expansions of cluster variables in a cluster algebra of rank 2 associated to a generalized Kronecker quiver. In the case of the ordinary Kronecker quiver, we obtain explicit expressions for Laurent expansions of the elements of the canonical basis for the corresponding cluster algebra.

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Philippe Caldero, Andrei Zelevinsky. 2006-05-11. Laurent expansions in cluster algebras via quiver representations. https://arxiv.org/abs/math/0604054

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