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arXiv · 2308.07755

Deformations and extensions of modified $\lambda$-differential $3$-Lie Algebras

Wen Teng·Hui Zhang
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Abstract

In this paper, we introduce the representation of modified $\lambda$-differential $3$-Lie algebras and define the cohomology of modified $\lambda$-differential $3$-Lie algebras with coefficients in a representation. As applications of the proposed cohomology theory, we study linear deformations, abelian extensions and $T^*$-extensions of modified $\lambda$-differential $3$-Lie algebras.

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Wen Teng, Hui Zhang. 2023-08-14. Deformations and extensions of modified $\lambda$-differential $3$-Lie Algebras. https://doi.org/10.3390/math11183853

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