A. Zelevinsky

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19982008

most citedCluster algebras IV: Coefficients

31 citations · 113 across the 13 of their papers we have counts for

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math.RA2006

Semicanonical basis generators of the cluster algebra of type $A_{1}^{(1)}$

Andrei Zelevinsky

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 Lau…

math.RT2006★ 4 cited

Laurent expansions in cluster algebras via quiver representations

Philippe Caldero, Andrei Zelevinsky

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 obtai…

math.RA2006★ 31 cited

Cluster algebras IV: Coefficients

Sergey Fomin, Andrei Zelevinsky

We study the dependence of a cluster algebra on the choice of coefficients. We write general formulas expressing the cluster variables in any cluster algebra in terms of the initia…

Semicanonical basis generators of the cluster algebra of type A1(1)​

Laurent expansions in cluster algebras via quiver representations

Cluster algebras IV: Coefficients

Semicanonical basis generators of the cluster algebra of type $A_{1}^{(1)}$