Non-abelian extensions and automorphisms of post-Lie algebras
Rings and Algebras
2025-12-01 v9
Abstract
In this paper, we introduce the concepts of crossed modules of post-Lie algebras and cat-post-Lie algebras. It is proved that these two concepts are equivalent to each other. Secondly, we construct a non-abelian cohomology for post-Lie algebras to classify their non-abelian extensions. At last, we investigate the inducibility problem of a pair of automorphisms for post-Lie algebras and construct a Wells exact sequence to solve it.
Keywords
Cite
@article{arxiv.2409.16289,
title = {Non-abelian extensions and automorphisms of post-Lie algebras},
author = {Lisi Bai and Tao Zhang},
journal= {arXiv preprint arXiv:2409.16289},
year = {2025}
}
Comments
25 pages, minor changes, continue of arXiv:2408.09971,arXiv:2204.01060