Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Lie characters and cyclic descent extension on conjugacy classes   A now-classical cyclic extension of the descent set of a permutation has been
introduced by Klyachko and Cellini. Following a recent axiomatic approach to
this notion, it is natural to ask which sets of permutations admit such an
extension.
  The main result of this paper is a complete answer in the case of conjucay
classes of permutations. It is shown that the conjugacy class of cycle type
$\lambda$ has such an extension if and only if $\lambda$ is not of the form
$(r^s)$ for some square-free $r$. The proof involves a detailed study of hook
constituents in higher Lie characters.

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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-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: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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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: gr-qc