no. 12
Algebra
Koszul duality for PROPs

Presented by: Jean-Louis Koszul

Vallette, Bruno1
1 Institut de recherche mathématique avancée, Université Louis Pasteur et CNRS, 7, rue René Descartes, 67084 Strasbourg cedex, France
Comptes Rendus. Mathématique, Volume 338 (2004) no. 12, pp. 909-914.

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.

La notion de PROP modélise les opérations à plusieurs entrées et plusieurs sorties, agissant sur certaines structures algébriques comme les bigèbres et les bigèbres de Lie. Nous montrons une théorie de dualité de Koszul pour les PROPs qui généralise celle des algèbres associatives et des opérades.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2004.04.004
Vallette, Bruno 1

1 Institut de recherche mathématique avancée, Université Louis Pasteur et CNRS, 7, rue René Descartes, 67084 Strasbourg cedex, France 
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Vallette, Bruno. Koszul duality for PROPs. Comptes Rendus. Mathématique, Volume 338 (2004) no. 12, pp. 909-914. doi : 10.1016/j.crma.2004.04.004. http://www.numdam.org/articles/10.1016/j.crma.2004.04.004/

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