Preprojective algebras and MV polytopes

2010/09/13 by Pierre Baumann, Joel Kamnitzer, Baumann, Pierre +1
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.1009.2469

39 pages

arxiv created 2010/09/13 · arxiv updated 2010/09/14

Abstract

The purpose of this paper is to apply the theory of MV polytopes to the study of components of Lusztig's nilpotent varieties. Along the way, we introduce reflection functors for modules over the non-deformed preprojective algebra of a quiver.

Related

• Sequences of reflection functors and the preprojective component of a valued quiver
• Quiver varieties and Lusztig's algebra
• On deformed preprojective algebras
• Modules with 1-dimensional socle and components of Lusztig quiver varieties in type A
• Application of the reflection functor to integrable systems on quiver varieties