Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric genuine Spherical Whittaker functions on the metaplectic
  double cover of GSp(2n,F)   Let F be a p-adic field of odd residual characteristic. Let G(n) and G`(n) be
the metaplectic double covers of the general symplectic group and the
symplectic group attached to the 2n dimensional symplectic space over F. Let T
be a genuine, possibly reducible, unramified principal series representation of
G(n). In these notes we give an explicit formulas for a spanning set for the
space of Spherical Whittaker functions attached to T. For odd n, and
generically for even n, this spanning set is a basis. The signicant property of
this set is that each of its elements is unchanged under the action of the Weyl
group of G`(n). If n is odd then each element in the set has an equivariant
property that generalizes the uniqueness result of Gelbart, Howe and
Piatetski-Shapiro proven for G(1). Using this symmetric set, we construct a
family of reducible genuine unramified principal series representations which
have more then one generic constituent. This family contains all the reducible
genuine unramified principal series representations induced from a unitary data
and exists only for n even.

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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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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: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an