Relative Rota-Baxter operators of nonzero weights on Lie Triple Systems
Rings and Algebras
2022-07-20 v1
Abstract
In this paper, we introduce the notion of a relative Rota-Baxter operator of weight 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 on Lie triple systems and use the first cohomology group to classify infinitesimal deformations.
Keywords
Cite
@article{arxiv.2207.08946,
title = {Relative Rota-Baxter operators of nonzero weights on Lie Triple Systems},
author = {Xueru Wu and Yao Ma and Liangyun Chen},
journal= {arXiv preprint arXiv:2207.08946},
year = {2022}
}
Comments
14pages. arXiv admin note: substantial text overlap with arXiv:2204.02196 by other authors