Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weyl modules and q-Whittaker functions   Let G be a semi-simple simply connected group over complex numbers. In this
paper we give a geometric definition of the (dual) Weyl modules over the group
G[t] and show that their characters form an eigen-function of the lattice
version of the q-Toda integrable integrable system (defined by means of the
quantum group version of Kostant-Whittaker reduction due to Etingof and
Sevostyanov). All the proofs are algebro-geometric and rely on our previous
work which interprets the universal eigen-function of the q-Toda system in
terms of rings of functions on the spaces of based quasi-maps from P^1 to the
flag variety of G.
  We discuss in detail the relation between the current work and the works of
Cherednik, Ion, Sanderson and Gerasimov-Lebedev-Oblezin.

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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
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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: comp-gas
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The categories of this paper are: hep-lat