Modules with 1-dimensional socle and components of Lusztig quiver varieties in type A

Chandrika Sadanand; Joel Kamnitzer

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arxiv 1009.0272 v1 pith:PRZRNHHL submitted 2010-09-01 math.RT

Modules with 1-dimensional socle and components of Lusztig quiver varieties in type A

Joel Kamnitzer , Chandrika Sadanand This is my paper

classification math.RT

keywords modulescomponentsdimensionallusztigquiversocletypevarieties

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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 explain how they may be used to describe the components of Lusztig quiver varieties.

Modules with 1-dimensional socle and components of Lusztig quiver varieties in type A

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