Cohomology for Deformation maps on quasi-twilled Lie triple systems
Rings and Algebras
2026-07-20 v1
Abstract
Due to the importance of invariant, in the present paper, we provide a unified approach to study various kinds of operators on Lie triple systems such as crossed homomorphisms, relative Rota-Baxter operators, Reynolds operators etc. For this purpose, we examine two kinds of deformation maps on quasi-twilled Lie triple systems. A quasi-twilled Lie triple system is a Lie triple system which can be decomposed into two subspaces, one of which is a subalgebra. Moreover, we establish cohomologies of two kinds of deformation maps, which recover those of several kinds of operators on Lie triple systems.
Keywords
Cite
@article{arxiv.2607.17945,
title = {Cohomology for Deformation maps on quasi-twilled Lie triple systems},
author = {Jia Zhao},
journal= {arXiv preprint arXiv:2607.17945},
year = {2026}
}