The pre-Lie operad as a deformation of NAP
arXiv:1011.4356
Abstract
We define a family of multigraded operads $O_λ$ depending on a scalar parameter, such that forgetting the multigraduation gives back the pre-Lie operad when the parameter $λ$ is equal to one, and the NAP operad governing Non-Associative Permutative algebras when $λ$ is equal to zero.
18 pages