Communications in Mathematics |
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.
Source : ScholeXplorer
IsRelatedTo ARXIV 0904.3010 Source : ScholeXplorer IsRelatedTo DOI 10.1080/00927872.2011.643667 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.0904.3010
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