Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie-admissible algebras and operads   A Lie-admissible algebra gives by anticommutativity a Lie algebra. In this
work we study remarkable classes of Lie-admissible algebras such as Vinberg,
PreLie algebras. We compute the corresponding binary quadratic operads and
study their Koszul duality. Considering Lie algebras as Lie-admissible algebras
we can define for each Lie algebra a cohomology with values in a Lie-admissible
module. This permits to study some deformations of Lie algebras in the category
of Lie-admissible algebras. Lastly we study the tensor product between these
operads and their dual operads. As application we construct new classes of
Vinberg algebras.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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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: nlin
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th