Koszul duality for PROPs
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bialgebrasdualitykoszulmultiplepropsactingalgebraicalgebras
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The notion of PROP models the operations with multiple inputs and multiple outputs, acting on some algebraic structures like the bialgebras or the Lie bialgebras. We prove a Koszul duality theory for PROPs generalizing the one for associative algebras and for operads.
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