Affiliation:
1. Department of Mathematics, Zhejiang, University of Science and Technology, Hangzhou 310023, P. R. China
Abstract
The aim of this paper is to study cohomological theory of Lie triple systems with derivations. We introduce the notion of a LtsDer pair and its representation. We also introduce the matched pair of LtsDer pairs. Moreover, we characterize the relation between the cohomologies of a LtsDer pair and its associated LeibDer pair. The deformation and [Formula: see text]-operator of LtsDer pairs are also discussed. We show that the representation of the given LtsDer pair becomes a new LtsDer pair and the former LtsDer pair becomes the representation of the new LtsDer pair, naturally to investigate cohomologies of the new LtsDer pair. Finally, we consider abelian extensions of LtsDer pairs.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Zhejiang Province
Science and Technology Planning Project of Zhejiang Province
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献