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

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arxiv 2307.10828 v1 pith:5PA2CSDD submitted 2023-07-12 math.RA

Wen Teng , Fengshan Long , Yu Zhang This is my paper · ORCID
classification math.RA
keywords differentiallambdamodifiedsystemstripleapplicationscohomologyrepresentation
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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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