Modules with 1-Dimensional Socle and Components of Lusztig Quiver Varieties in Type A

@article{Kamnitzer2011ModulesW1,
  title={Modules with 1-Dimensional Socle and Components of Lusztig Quiver Varieties in Type A},
  author={Joel Kamnitzer and Chandrika Sadanand},
  journal={arXiv: Representation Theory},
  year={2011},
  pages={61-72}
}
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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