Koszul duality for PROPs

Abstract

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.

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

References in corpus (3)

• Koszul duality of operads and homology of partition posets
• Combinatorial Lie bialgebras of curves on surfaces
• PROPped up graph cohomology

Cited by in corpus (3)

• Wheeled PROPs, graph complexes and the master equation
• Strongly homotopy Lie bialgebras and Lie quasi-bialgebras
• Representations are adjoint to endomorphisms