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Preprint . 2022
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Journal of Algebra
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Article . 2023
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https://dx.doi.org/10.48550/ar...
Article . 2022
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Lie algebras with Frobenius dihedral groups of automorphisms

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2023Embargo end date: 01 Jan 2022 English Publisher:Elsevier BVJournal:Journal of Algebra, volume 628, pages 362-381 (issn: 0021-8693, Copyright policy )
Authors: N.Yu. Makarenko;

doi: 10.1016/j.jalgebra.2023.03.024 , 10.48550/arxiv.2212.03522

arXiv: 2212.03522

Lie algebras with Frobenius dihedral groups of automorphisms

Abstract

Suppose that a Lie algebra $L$ admits a finite Frobenius group of automorphisms $FH$ with cyclic kernel $F$ and complement $H$ of order 2, such that the fixed-point subalgebra of $F$ is trivial and the fixed-point subalgebra of $H$ is metabelian. Then the derived length of $L$ is bounded by a constant.

Related Organizations
Keywords

Solvable, nilpotent (super)algebras, Automorphisms, derivations, other operators for Lie algebras and super algebras, 17B40, 17B30, 17B70, Secondary 17B40, 17B30, 17B70, 17B5, Frobenius group of automorphisms, fixed-point subalgebra, solvable, Mathematics - Rings and Algebras, Lie algebras, Rings and Algebras (math.RA), FOS: Mathematics, Graded Lie (super)algebras, Infinite-dimensional Lie (super)algebras, graded, dihedral group of automorphisms

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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