Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products

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The main result of the paper is a natural construction of the spherical subalgebra in a symplectic reflection algebra associated with a wreath-product in terms of quantum hamiltonian reduction of an algebra of differential operators on a representation space of an extended Dynkin quiver. The existence of such a construction has been conjectured in [EG]. We also present a new approach to reflection functors and shift functors for generalized preprojective algebras and symplectic reflection algebras associated with wreath-products.
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Representation Theory, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/105000

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511489
 http://arxiv.org/abs/math/0511489

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arXiv