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Nakajima Varieties and Repetitive Algebras

Bernard Leclerc, Pierre-Guy Plamondon

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Source: Crossref

Published: Sep 2, 2013

DOI: 10.4171/prims/112

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Source abstract

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.

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Nakajima Varieties and Repetitive Algebras — Mathematical Frontier Network