Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3755

 Title: Varieties of Metabelian Lie Algebras over Finite Fields Authors: Drensky, Vesselin S. Issue Date: 1986 Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences Citation: Pliska Studia Mathematica Bulgarica, Vol. 8, No 1, (1986), 182p-191p Abstract: Metabelian varieties of Lie algebras over a finite field are studied in this paper. It is proved that any such variety is a union of two subvarieties. One of them is nilpotent and the other is generated by algebras which are abelian-by-abelian split extensions. Any proper subvariety of the metabelian variety is embedded in the variety generated by a wreath product of two finite dimensional abelian algebras. The proofs are based on the technique of varieties of representations of Lie algebras. Some other results concerning bivarieties of Lie algebras are obtained in the paper, too. Description: [Drensky Vesselin S.; Дренски Веселин С.] URI: http://hdl.handle.net/10525/3755 ISSN: 0204-9805 Appears in Collections: 1986 Volume 8

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