O-operators on Lie triple systems
Representation Theory
2022-04-06 v1 Mathematical Physics
math.MP
Abstract
The purpose of this paper is to study cohomology and deformations of -operators on Lie triple systems. We define a cohomology of an -operator as the Lie-Yamaguti cohomology of a certain Lie triple system induced by with coefficients in a suitable representation. Then we consider infinitesimal and formal deformations of -operators from cohomological viewpoint. Moreover we provide relationships between -operators on Lie algebras and associated Lie triple systems.
Cite
@article{arxiv.2204.01853,
title = {O-operators on Lie triple systems},
author = {T. Chtioui and A. Hajjaji and S. Mabrouk and A. Makhlouf},
journal= {arXiv preprint arXiv:2204.01853},
year = {2022}
}