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arXiv · 2607.17945

Cohomology for Deformation maps on quasi-twilled Lie triple systems

Jia Zhao
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Abstract

Due to the importance of invariant, in the present paper, we provide a unified approach to study various kinds of operators on Lie triple systems such as crossed homomorphisms, relative Rota-Baxter operators, Reynolds operators etc. For this purpose, we examine two kinds of deformation maps on quasi-twilled Lie triple systems. A quasi-twilled Lie triple system is a Lie triple system which can be decomposed into two subspaces, one of which is a subalgebra. Moreover, we establish cohomologies of two kinds of deformation maps, which recover those of several kinds of operators on Lie triple systems.

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Jia Zhao. 2026-07-20. Cohomology for Deformation maps on quasi-twilled Lie triple systems. https://arxiv.org/abs/2607.17945

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