Koszul duality for dioperads

Details Koszul duality for dioperads Koszul duality for dioperads

2002-01-10

arxiv.org/abs/math/0201074v2

Mathematics

Quantum Algebra

14pp. LaTeX. Remarks added

Scientific paper

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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