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

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

2010-09-01

arxiv.org/abs/1009.0272v1

Mathematics

Representation Theory

9 pages

Scientific paper

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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