Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double Kostka polynomials and Hall bimodule   Double Kostka polynomials are polynomials indexed by a pair of double
partitions. As in the ordinary case, double Kostka polynomials are defined in
terms of Schur functions and Hall-Littlewood functions associated to double
partitions. In this paper, we study combinatorial properties of those double
Kostka polynomials and Hall-Littlewood functions. In particular, we show that
the Lascoux-Schutzenberger type formula holds for double Kostka polynomials in
certain cases. Moreover, we show that the Hall bimodule introduced by
Finkelberg-Ginzburg-Travkin is isomorphic to the ring of symmetric functions
with two types of variables, which gives an alternate approach for their
result.

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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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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: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol