English

Koszul duality for PROPs

Algebraic Topology 2011-03-31 v1 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.math/0402213,
  title  = {Koszul duality for PROPs},
  author = {Bruno Vallette},
  journal= {arXiv preprint arXiv:math/0402213},
  year   = {2011}
}

Comments

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