Koszul duality for PROPs

Details Koszul duality for PROPs Koszul duality for PROPs

2004-02-13

arxiv.org/abs/math/0402213v1

C. R. Math. Acad. Sci. Paris 338 (2004), no. 12, 909-914

Mathematics

Algebraic Topology

submitted to the C. R. Acad. Sci. Paris

Scientific paper

10.1016/j.crma.2004.04.004

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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