7 citations · 7 across the 2 of their papers we have counts for
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math.RT2005
Cluster categories and duplicated algebras
Ibrahim Assem, Thomas Brüstle, Ralf Schiffler +1
Let be a hereditary algebra. We construct a fundamental domain for the cluster category of inside the category of modules over the duplicated algebra of . We t…
math.RT2004★ 7 cited
Quivers with relations and cluster tilted algebras
Philippe Caldero, Frederic Chapoton, Ralf Schiffler
Cluster algebras were introduced by S. Fomin and A. Zelevinsky in connection with dual canonical bases. To a cluster algebra of simply laced Dynkin type one can associate the clust…
math.RT2003
Rational smoothness of varieties of representations for quivers of Dynkin type
Philippe Caldero, Ralf Schiffler
With the help of Lusztig's canonical basis, we study local intersection cohomology of the Zariski closures of orbits of representations of a quiver of type A, D or E. In particular…