Semicanonical Basis Generators of the Cluster Algebra of Type $A_1^{(1)}$

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Semicanonical Basis Generators of the Cluster Algebra of Type A1(1)

We study the cluster variables and “imaginary” elements of the semicanonical basis for the coefficient-free cluster algebra of affine type A (1) 1 . A closed formula for the Laurent expansions of these elements was given by P.Caldero and the author. As a by-product, there was given a combinatorial interpretation of the Laurent polynomials in question, equivalent to the one obtained by G.Musiker...

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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2007

ISSN: 1077-8926

DOI: 10.37236/1005