Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $\gamma$-positivity of basic Eulerian polynomials via group actions   We provide combinatorial interpretation for the $\gamma$-coefficients of the
basic Eulerian polynomials that enumerate permutations by the excedance
statistic and the major index as well as the corresponding
$\gamma$-coefficients for derangements. Our results refine the classical
$\gamma$-positivity results for the Eulerian polynomials and the derangement
polynomials. The main tools are Br\"and\'en's modified Foata--Strehl action on
permutations and the recent triple statistic (des, rix,aid) equidistibuted with
(exc, fix, maj).

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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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: econ
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat