Deformations and extensions of modified $位$-differential Lie-Yamaguti algebras
Wen Teng
Published: 2024/2/13
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.