Cohomology and 1-parameter formal deformations of Hom-Lie triple systems
Rings and Algebras
2018-02-23 v1
Abstract
In this paper, we study the cohomology theory of Hom-Lie triple systems generalizing the Yamaguti cohomology theory of Lie triple systems. We introduce the central extension theory for Hom-Lie triple systems and show that there is a one-to-one correspondence between equivalent classes of central extensions of Hom-Lie triple systems and the third cohomology group. We develop the 1-parameter formal deformation theory of Hom-Lie triple systems, and prove that it is governed by the cohomology group.
Keywords
Cite
@article{arxiv.1309.3347,
title = {Cohomology and 1-parameter formal deformations of Hom-Lie triple systems},
author = {Yao Ma and Liangyun Chen and Jie Lin},
journal= {arXiv preprint arXiv:1309.3347},
year = {2018}
}
Comments
20pages