30 citations · 91 across the 38 of their papers we have counts for
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A Combinatorial Formula for Certain Elements of Upper Cluster Algebras
Kyungyong Lee, Li Li, Matthew R. Mills
We develop an elementary formula for certain non-trivial elements of upper cluster algebras. These elements have positive coefficients. We show that when the cluster algebra is acy…
On natural maps from strata of quiver Grassmannians to ordinary Grassmannians
Kyungyong Lee, Li Li
Caldero and Zelevinsky studied the geometry of quiver Grassmannians for the Kronecker quiver and computed their Euler characteristics by examining natural stratification of quiver…
Greedy elements in rank 2 cluster algebras
Kyungyong Lee, Li Li, Andrei Zelevinsky
A lot of recent activity in the theory of cluster algebras has been directed towards various constructions of "natural" bases in them. One of the approaches to this problem was dev…
Positivity for cluster algebras of rank 3
Kyungyong Lee, Ralf Schiffler
We prove the positivity conjecture for skew-symmetric coefficient-free cluster algebras of rank 3.