Nakajima Varieties and Repetitive Algebras
Bernard LeclercUniversité de Caen, France
Pierre-Guy PlamondonUniversité Paris-Sud, Orsay, France
We realize certain graded Nakajima varieties of finite Dynkin type as orbit closures of repetitive algebras of Dynkin quivers. As an application, we show that the perverse sheaves introduced by Nakajima to describe irreducible characters of quantum loop algebras are isomorphic to the intersection cohomology sheaves of these orbit closures.
Cite this article
Bernard Leclerc, Pierre-Guy Plamondon, Nakajima Varieties and Repetitive Algebras. Publ. Res. Inst. Math. Sci. 49 (2013), no. 3, pp. 531–561DOI 10.4171/PRIMS/112