Cohomologies of modified $\lambda$-differential Lie triple systems and applications

Abstract

In this paper, we introduce the concept and representation of modified $\lambda$-differential Lie triple systems. Next, we define the cohomology of modified $\lambda$-differential Lie triple systems with coefficients in a suitable representation. As applications of the proposed cohomology theory, we study 1-parameter formal deformations and abelian extensions of modified $\lambda$-differential Lie triple systems.

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Cited by in corpus (2)

• Cohomology and deformations of nonabelian embedding tensors between Lie triple systems
• Weighted $\mathcal{O}$-operators on Hom-Lie triple systems