Journal
MATHEMATISCHE ANNALEN
Volume 327, Issue 4, Pages 671-721Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00208-003-0467-0
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We introduce reflectionfunctors on quiver varieties. They are hyper-Kahler isometries between quiver varieties with different parameters, related by elements in the Weyl group. The definition is motivated by the origial reflection functor given by Bernstein-Gelfand-Ponomarev [1], but they behave much nicely. They are isomorphisms and satisfy the Weyl group relations. As an application, we define Weyl group representations of homology groups of quiver varieties. They are analogues of Slodowy's construction of Springer representations of the Weyl group.
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