Laurent expansions in cluster algebras via quiver representations

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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.
19 pages; v2: added Remark 5.7; v3: minor editorial changes, final version to appear in Moscow Math. Journal; v4: more minor editorial changes

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Representation Theory, Algebraic Geometry, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/111430

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604054
 http://arxiv.org/abs/math/0604054

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arXiv