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-algebrasArticle

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.

    https://doi.org/10.2478/cm-2020-0013
    Source: HAL:hal-03664993v1
    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]
    Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
    Funding:
      Source : OpenAIRE Graph
    • Incentive - LA 1 - 2013; Code: Incentivo/SAU/LA0001/2013

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