English

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

Representation Theory 2010-09-03 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1009.0272,
  title  = {Modules with 1-dimensional socle and components of Lusztig quiver varieties in type A},
  author = {Joel Kamnitzer and Chandrika Sadanand},
  journal= {arXiv preprint arXiv:1009.0272},
  year   = {2010}
}

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9 pages