Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $P$-Schur positive $P$-Grothendieck Polynomials   The symmetric Grothendieck polynomials generalize Schur polynomials and are
Schur-positive by degree. Combinatorially this is manifested as the
generalization of semistandard Young tableaux by set-valued tableaux. We define
a (weak) symmetric $P$-Grothendieck polynomial which generalizes $P$-Schur
polynomials in the same way. Combinatorially this is manifested as the
generalization of shifted semistandard Young tableau by a new type of tableaux
which we call shifted multiset tableaux.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: econ