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Paper detail

A Lie-theoretic construction of spherical symplectic reflection algebras

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.

preprint2008arXivOpen access
P. EtingofS. LoktevA. OblomkovL. Rybnikov
math.RTmath.QA
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P. EtingofS. LoktevA. OblomkovL. Rybnikov

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