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arXiv · 1208.3910

Nakajima varieties and repetitive algebras

Bernard Leclerc·Pierre-Guy Plamondon
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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.

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Bernard Leclerc, Pierre-Guy Plamondon. 2012-08-20. Nakajima varieties and repetitive algebras. https://arxiv.org/abs/1208.3910

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