Preprojective Algebras and Mv Polytopes
نویسندگان
چکیده
The purpose of this paper is to apply the theory of MV polytopes to the study of components of Lusztig’s nilpotent varieties. Along the way, we introduce reflection functors for modules over the non-deformed preprojective algebra of a quiver.
منابع مشابه
Koszulity and the Hilbert Series of Preprojective Algebras
The goal of this paper is to prove that if Q is a connected non-Dynkin quiver then the preprojective algebra ΠQ(k) of Q over any field k is Koszul, and has Hilbert series (1 − Ct+ t2)−1, where C is the adjacency matrix of the double Q̄ of Q. We also prove a similar result for the partial preprojective algebra ΠQ,J(k) of any connected quiver Q, where J ⊂ I is a subset of the set I of vertices of ...
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