The pre-Lie operad as a deformation of NAP

The pre-Lie operad as a deformation of NAP

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 zer...

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1. Verfasser: Saidi, Abdellatif
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Quantum Algebra
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Zusammenfassung: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.
DOI:10.48550/arxiv.1011.4356