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...

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Veröffentlicht in:arXiv.org 2010-11
1. Verfasser: Saidi, Abdellatif
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Sprache:eng
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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.
ISSN:2331-8422