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Showing 2009 · math.RTShow all
3 papers · 2 filters
math.RT2009★ 2 cited
Positivity for Regular Cluster Characters in Acyclic Cluster Algebras
G. Dupont
Let be an acyclic quiver and let be the corresponding cluster algebra. Let be the path algebra of over an algebraically closed field and let be an i…
math.RT2009
Transverse Quiver Grassmannians and Bases in Affine Cluster Algebras
Gregoire Dupont
Sherman-Zelevinsky and Cerulli constructed canonically positive bases in cluster algebras associated to affine quivers having at most three vertices. Both constructions involve clu…
math.RT2009★ 24 cited
Gentle algebras arising from surface triangulations
Ibrahim Assem, Thomas Brüstle, Gabrielle Charbonneau-Jodoin +1
In this paper, we associate an algebra A(T) to a triangulation T of a surface S with a set of boundary marking points. This algebra A(T) is gentle and Gorenstein of dimension one.…