David A. Towers - Leibniz A-algebras

cm:9505 - Communications in Mathematics, October 11, 2020, Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto) - https://doi.org/10.2478/cm-2020-0013
Leibniz A-algebras

Authors: David A. Towers

A finite-dimensional Lie algebra is called an A-algebra if all of its nilpotent subalgebras are abelian. These arise in the study of constant Yang-Mills potentials and have also been particularly important in relation to the problem of describing residually finite varieties. They have been studied by several authors, including Bakhturin, Dallmer, Drensky, Sheina, Premet, Semenov, Towers and Varea. In this paper we establish generalisations of many of these results to Leibniz algebras.


Volume: Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto)
Published on: October 11, 2020
Imported on: May 11, 2022
Keywords: [MATH]Mathematics [math]


Share

Consultation statistics

This page has been seen 23 times.
This article's PDF has been downloaded 8 times.