English

Preprojective algebras and MV polytopes

Representation Theory 2010-09-14 v1 Quantum Algebra

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.

Cite

@article{arxiv.1009.2469,
  title  = {Preprojective algebras and MV polytopes},
  author = {Pierre Baumann and Joel Kamnitzer},
  journal= {arXiv preprint arXiv:1009.2469},
  year   = {2010}
}

Comments

39 pages

R2 v1 2026-06-21T16:13:19.422Z