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This article is cited in 52 scientific papers (total in 52 papers)
Laurent expansions in cluster algebras via quiver representations
Ph. Calderoa, A. V. Zelevinskiib a Institut Camille Jordan, Université Claude Bernard Lyon 1
b Northeastern University
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.
Key words and phrases:
Cluster algebras, Laurent phenomenon, quiver representations, Kronecker quiver.
Received: April 6, 2004; in revised form May 1, 2006
Citation:
Ph. Caldero, A. V. Zelevinskii, “Laurent expansions in cluster algebras via quiver representations”, Mosc. Math. J., 6:3 (2006), 411–429
Linking options:
https://www.mathnet.ru/eng/mmj254 https://www.mathnet.ru/eng/mmj/v6/i3/p411
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