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math.RT2010
Preprojective algebras and MV polytopes
Pierre Baumann, Joel Kamnitzer
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 mo…
math.RT2010
Modules with 1-dimensional socle and components of Lusztig quiver varieties in type A
Joel Kamnitzer, Chandrika Sadanand
We study modules with 1-dimensional socle for preprojective algebras for type A quivers. In particular, we classify such modules, determine all homomorphisms between them, and then…