Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products
Representation Theory
2007-05-23 v2 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.math/0511489,
title = {Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products},
author = {Pavel Etingof and Wee Liang Gan and Victor Ginzburg and Alexei Oblomkov},
journal= {arXiv preprint arXiv:math/0511489},
year = {2007}
}
Comments
Introduction expanded