论文标题
非零权重的相对rota-baxter运算符在Lie三重系统上
Relative Rota-Baxter operators of nonzero weights on Lie Triple Systems
论文作者
论文摘要
在本文中，我们介绍了一个相对的rota-baxter操作员的权重$λ$在谎言三个系统上的概念，相对于另一个谎言三重系统的作用，该概念的特征是其半导向产品的图表。我们还为重量$λ$在Lie Triple Systems上的相对Rota-Baxter运算符建立了一个共同体学理论，并使用第一个共同体学组对无限变形进行了分类。
In this paper, we introduce the notion of a relative Rota-Baxter operator of weight $λ$ on a Lie triple system with respect to an action on another Lie triple system, which can be characterized by the graph of their semidirect product. We also establish a cohomology theory for a relative Rota-Baxter operator of weight $λ$ on Lie triple systems and use the first cohomology group to classify infinitesimal deformations.
