The pre-Lie operad as a deformation of NAP

Details The pre-Lie operad as a deformation of NAP The pre-Lie operad as a deformation of NAP

2010-11-19

arxiv.org/abs/1011.4356v1

Mathematics

Quantum Algebra

18 pages

Scientific paper

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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