Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Signaletic operads   We introduce $k$-signaletic operads and their Koszul duals, generalizing the
dendriform, diassociative and duplicial operads (which correspond to the $k=1$
case). We show that the Koszul duals of the $k$-signaletic operads act on
multipermutations and that the resulting algebras are free, thus providing
combinatorial models for these operads. Finally, motivated by these actions on
multipermutations, we introduce similar operations on multiposets which yield
yet another relevant operad obtained as Manin powers of the $L$-operad.

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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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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: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: eess