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arXiv · 2204.01853

O-operators on Lie triple systems

T. Chtioui·A. Hajjaji·S. Mabrouk·A. Makhlouf
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Abstract

The purpose of this paper is to study cohomology and deformations of $\mathcal{O}$-operators on Lie triple systems. We define a cohomology of an $\mathcal{O}$-operator $T$ as the Lie-Yamaguti cohomology of a certain Lie triple system induced by $T$ with coefficients in a suitable representation. Then we consider infinitesimal and formal deformations of $\mathcal{O}$-operators from cohomological viewpoint. Moreover we provide relationships between $\mathcal{O}$-operators on Lie algebras and associated Lie triple systems.

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BibTeXRIS

T. Chtioui, A. Hajjaji, S. Mabrouk, A. Makhlouf. 2022-04-04. O-operators on Lie triple systems. https://arxiv.org/abs/2204.01853

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