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arxiv: 1009.0272 · v1 · pith:PRZRNHHLnew · submitted 2010-09-01 · 🧮 math.RT

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

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.

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