Nakajima Varieties and Repetitive Algebras | Zendy

Bernard Leclerc | Zendy; PierreGuy Plamondon | Zendy

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Nakajima Varieties and Repetitive Algebras

Author(s) -

Bernard Leclerc,

PierreGuy Plamondon

Publication year - 2013

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.4171/prims/112

Subject(s) - mathematics , pure mathematics , intersection (aeronautics) , orbit (dynamics) , type (biology) , cohomology , intersection homology , quantum , physics , ecology , quantum mechanics , engineering , biology , aerospace engineering

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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