Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation theoretic interpretation and interpolation properties of
  inhomogeneous spin $q$-Whittaker polynomials   We establish new properties of inhomogeneous spin $q$-Whittaker polynomials,
which are symmetric polynomials generalizing $t=0$ Macdonald polynomials. We
show that these polynomials are defined in terms of a vertex model, whose
weights come not from an $R$-matrix, as is often the case, but from other
intertwining operators of $U'_q(\hat{\mathfrak{sl}}_2)$-modules. Using this
construction, we are able to prove a Cauchy-type identity for inhomogeneous
spin $q$-Whittaker polynomials in full generality. Moreover, we are able to
characterize spin $q$-Whittaker polynomials in terms of vanishing at certain
points, and we find interpolation analogues of $q$-Whittaker and elementary
symmetric polynomials.

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The categories of this paper are: eess
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat