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math.QA2012
Nakajima varieties and repetitive algebras
Bernard Leclerc, Pierre-Guy Plamondon
We realize certain graded Nakajima varieties of finite Dynkin type as orbit closures of repetitive algebras of Dynkin quivers. As an application, we obtain that the perverse sheave…
math.RT2012
Linear independence of cluster monomials for skew-symmetric cluster algebras
Giovanni Cerulli Irelli, Bernhard Keller, Daniel Labardini-Fragoso +1
Fomin-Zelevinsky conjectured that in any cluster algebra, the cluster monomials are linearly independent and that the exchange graph and cluster complex are independent of the choi…