Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cherednik algebras for algebraic curves   For any smooth algebraic curve C, Pavel Etingof introduced a `global'
Cherednik algebra as a natural deformation of the cross product of the algebra
of differential operators on C^n and the symmetric group. We provide a
construction of the global Cherednik algebra in terms of quantumn Hamiltonian
reduction. We study a category of character D-modules on a representation
scheme associated to C and define a Hamiltonian reduction functor from that
category to category O for the global Cherednik algebra.
  In the special case where the curve C is the multiplicative group, the global
Cherednik algebra reduces to the trigonometric Cherednik algebra of type A, and
our character D-modules become holonomic D-modules on GL_n \times C^n. The
corresponding perverse sheaves are reminiscent of (and include as special
cases) Lusztig's character sheaves.

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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom