The pre-Lie operad as a deformation of NAP

Published 19 Nov 2010 in math.QA | (1011.4356v1)

Abstract: We define a family of multigraded operads $O_\lambda$ depending on a scalar parameter, such that forgetting the multigraduation gives back the pre-Lie operad when the parameter $\lambda$ is equal to one, and the NAP operad governing Non-Associative Permutative algebras when $\lambda$ is equal to zero.

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Abdellatif Saidi

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