Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasiparabolic sets and Stanley symmetric functions for affine
  fixed-point-free involutions   We introduce and study affine analogues of the fixed-point-free (FPF)
involution Stanley symmetric functions of Hamaker, Marberg, and Pawlowski. Our
methods use the theory of quasiparabolic sets introduced by Rains and Vazirani,
and we prove that the subset of FPF-involutions is a quasiparabolic set for the
affine symmetric group under conjugation. Using properties of quasiparabolic
sets, we prove a transition formula for the affine FPF involution Stanley
symmetric functions, analogous to Lascoux and Sch\"utzenberger's transition
formula for Schubert polynomials. Our results suggest several conjectures and
open problems.

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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs