Mathematical Research Letters

Volume 10, Issue 1, January 2003 pp. 109-124.

KoSzul duality for dioperads

Authors: Wee Liang Gan
Author institution: University of Chicago

Summary: We introduce the notion of a dioperad to describe certain operations with multiple inputs and multiple outputs. The framework of Koszul duality for operads is generalized to dioperads. We show that the Lie bialgebra dioperad is Koszul.

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