Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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.

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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: stat
9
The categories of this paper are: nlin
19
The categories of this paper are: eess