Deformed preprojective algebras and symplectic reflection algebras for wreath products

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We determine the PBW deformations of the wreath product of a symmetric group with a deformed preprojective algebra of an affine Dynkin quiver. In particular, we show that there is precisely one parameter which does not come from deformation of the preprojective algebra. We prove that the PBW deformation is Morita equivalent to a corresponding symplectic reflection algebra for wreath product.
13pp. LaTeX. Remark 2.2.6 added

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Quantum Algebra, Rings and Algebras, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/69779

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401038
 http://arxiv.org/abs/math/0401038

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arXiv