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arXiv · 2307.10828

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

Wen Teng·Fengshan Long·Yu Zhang
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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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Wen Teng, Fengshan Long, Yu Zhang. 2023-07-12. Cohomologies of modified $\lambda$-differential Lie triple systems and applications. https://doi.org/10.3934/math.20231280

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