Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorics of Iwahori Whittaker Functions   We give a combinatorial evaluation of Iwahori Whittaker functions for
unramified genuine principal series representations on metaplectic covers of
the general linear group over a non-archimedean local field. To describe the
combinatorics, we introduce new combinatorial data that we call colored data:
colored Lusztig data, colored Gelfand-Tsetlin patterns, and colored lattice
models. We show that all three are equivalent. To achieve the result, we give
an explicit Iwahori decomposition for the maximal unipotent subgroup of a split
reductive group which gives the parametrization of the generalized
Mirkovi\'c-Vilonen cycles in the affine flag varieties and is of interest in
itself.
  Our result is based and naturally extends Peter McNamara's evaluation of the
metaplectic spherical Whittaker function in terms of Lusztig data.

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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: acc-phys