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Reflection functors and symplectic reflection algebras for wreath products
Authors:Wee Liang Gan
Affiliation:Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Abstract:
We construct reflection functors on categories of modules over deformed wreath products of the preprojective algebra of a quiver. These functors give equivalences of categories associated to generic parameters which are in the same orbit under the Weyl group action. We give applications to the representation theory of symplectic reflection algebras of wreath product groups.
Keywords:Reflection functors   Quivers   Symplectic reflection alget
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