Non-abelian extensions of relative Rota-Baxter Lie algebras and Wells type exact sequences
Rings and Algebras
2024-04-04 v1
Abstract
In this paper, we explore non-abelian extensions of relative Rota-Baxter Lie algebras and classify the non-abelian extensions by introducing the non-abelian second cohomology group. We also study the inducibility of a pair of automorphisms about a non-abelian extension of relative Rota-Baxter Lie algebras and derive the Wells type exact sequences. Finally, we investigate the inducibility problem of pairs of derivations about an abelian extension of relative Rota-Baxter Lie algebras and give an exact sequence of Wells type.
Keywords
Cite
@article{arxiv.2404.02752,
title = {Non-abelian extensions of relative Rota-Baxter Lie algebras and Wells type exact sequences},
author = {Qinxiu Sun and Qianwen Zhu},
journal= {arXiv preprint arXiv:2404.02752},
year = {2024}
}