Nakajima varieties and repetitive algebras
Quantum Algebra
2013-03-29 v2 Rings and Algebras
Representation Theory
Abstract
We realize certain graded Nakajima varieties of finite Dynkin type as orbit closures of repetitive algebras of Dynkin quivers. As an application, we obtain that the perverse sheaves introduced by Nakajima for describing irreducible characters of quantum loop algebras are isomorphic to the intersection cohomology sheaves of these orbit closures.
Keywords
Cite
@article{arxiv.1208.3910,
title = {Nakajima varieties and repetitive algebras},
author = {Bernard Leclerc and Pierre-Guy Plamondon},
journal= {arXiv preprint arXiv:1208.3910},
year = {2013}
}
Comments
26 pages, v2 : Minor corrections. Final version to appear in PRIMS (Publications of the Research Institute for Mathematical Sciences, Kyoto)