Modules with 1-dimensional socle and components of Lusztig quiver varieties in type A
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2010
- arXiv:
- arXiv:1009.0272
- Bibcode:
- 2010arXiv1009.0272K
- Keywords:
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- Mathematics - Representation Theory
- E-Print:
- 9 pages