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

2010/09/01 by Joel Kamnitzer, Kamnitzer, Joel, Chandrika Sadanand +1
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1009.0272

9 pages

arxiv created 2010/09/01 · openalex publication_date 2010/09/01 · arxiv updated 2010/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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