Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exotic symmetric space over a finite field, I   Let V be a 2n dimensional vector space over an algebraically closed field of
odd characteristic. Let G = GL(V) and H = Sp_{2n} be the symplectic group
contained in G. We call X = G/H \times V the exotic symmetric space, since its
"unipotent" part is isomorphic to Kato's exotic nilcone. Let W be the Weyl
group of type C_n. Kato established the Springer correspondence between
irreducible characters of W and H-orbits in the exotic nilcone, based on the
Ginzburg theory of affine Hecke algebras. In this paper, we develpoe a theory
of character sheaves on X, and give an alternate proof for the Springer
correspondence based on the theroy of character sheaves.

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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: cs