AI 中文总结
本文针对拟斜李三系上的多种算子，通过研究其两种变形映射，建立相应上同调，为研究李三系上的算子提供统一方法，恢复了几种算子的上同调。
AI 中文摘要
由于不变量的重要性，本文提供了一种统一方法来研究李三系上的各种算子，如交叉同态、相对罗塔 - 巴克斯特算子、雷诺兹算子等。为此，研究了拟斜李三系上的两种变形映射。拟斜李三系可分解为两个子空间，其中一个是子代数。还建立了两种变形映射的上同调，恢复了李三系上几种算子的上同调。
英文摘要
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.
