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arXiv · 2207.04642

On the cohomology based on the generalized representations of $n$-Lie Algebras

Afi Maha·Sania Asif·Chouaibi Sami·Basdouri Imed
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Abstract

In the present paper, we define the new class of representation on $n$-Lie algebra that is called as generalized representation. We study the cohomology theory corresponding to generalized representations of $n$-Lie algebras and show its relation with the cohomology corresponding to the usual representations. Furthermore, we provide the computation for the low dimensional cocycles.

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BibTeXRIS

Afi Maha, Sania Asif, Chouaibi Sami, Basdouri Imed. 2022-07-11. On the cohomology based on the generalized representations of $n$-Lie Algebras. https://arxiv.org/abs/2207.04642

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