2023/10/21 by Teng, Wen, Jin, Jiulin
#17A30 #17B38 #17B56 #17B61 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2310.13728
In this paper, we first introduce the notion of a weighted O-operator on Hom-Lie triple systems with respect to an action on another Hom-Lie triple system. Next, we construct a cohomology of weighted O-operator on Hom-Lie triple systems, we use the first cohomology group to classify linear deformations and we investigate the obstruction class of an extendable n-order deformation. We end this paper by introducing a new algebraic structure, in connection with weighted O-operators, called Hom-post-Lie triple system. We further show that Hom-post-Lie triple systems can be derived from Hom-post-Lie algebras.