A Lie-theoretic construction of spherical symplectic reflection algebras
arXiv:0801.2339
Abstract
We propose a construction of the spherical subalgebra of a symplectic reflection algebra of an arbitrary rank corresponding to a star-shaped affine Dynkin diagram. Namely, it is obtained from the universal enveloping algebra of a certain semi-simple Lie algebra by the process of quantum Hamiltonian reduction. As an application, we propose a construction of finite-dimensional representations of the spherical subalgebra.
LaTeX, 17 pages, 2 figures. Final version