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arXiv · 2311.07531

On compatible Hom-Lie triple systems

Wen Teng·Fengshan Long·Hui Zhang·Jiulin Jin
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Abstract

In this paper, we consider compatible Hom-Lie triple systems. Compatible Hom-Lie triple systems are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible Hom-Lie triple systems. As applications of cohomology, we study abelian extensions and deformations of compatible Hom-Lie triple systems.

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Wen Teng, Fengshan Long, Hui Zhang, Jiulin Jin. 2023-11-05. On compatible Hom-Lie triple systems. https://doi.org/10.3770/j.issn%3A2095-2651.2024.05.005

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