Automorphisms of Multiplicative Lie algebra Extensions
Rings and Algebras
2024-04-01 v1
Abstract
In this paper, we discuss the inducibility problem for automorphisms of multiplicative Lie algebra extensions and show that obstruction to the inducibility of pairs lies in the second cohomology group of multiplicative Lie algebras. We also establish the Wells type exact sequence for multiplicative Lie algebras, which relates automorphism groups with the second cohomology group of multiplicative Lie algebras.
Cite
@article{arxiv.2403.19662,
title = {Automorphisms of Multiplicative Lie algebra Extensions},
author = {Dev Karan Singh and Shiv Datt Kumar},
journal= {arXiv preprint arXiv:2403.19662},
year = {2024}
}
Comments
Also lies in category math.KT