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arXiv · 2403.17015

Deformations and extensions of modified $\lambda$-differential Lie-Yamaguti algebras

Wen Teng
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Abstract

In this paper, we first introduce the concept and representations of modified $\lambda$-differential Lie-Yamaguti algebras. We then establish the cohomology of a modified $\lambda$-differential Lie-Yamaguti algebra with coefficients in a representation. As applications, we investigate the formal deformations and abelian extensions of modified $\lambda$-differential Lie-Yamaguti algebras by using the second cohomology group.

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Wen Teng. 2024-02-13. Deformations and extensions of modified $\lambda$-differential Lie-Yamaguti algebras. https://doi.org/10.13471/j.cnki.acta.snus.zr20240283

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