Almost locally representable varieties of Lie algebras
type: Item
instance of: scholarly article
title: Almost locally representable varieties of Lie algebras
zbMATH Open document ID: 0791.17005
published in: Mathematical Notes
publication date: 1994-02-08T00:00:00Z
review text: Extremal varieties of Lie algebras are studied in the note under review. (Recall that a variety is extremal with respect to a given condition if it does not satisfy this condition but all its proper subvarieties do.) A variety of (Lie) algebras over a field is locally representable if every finitely generated algebra in the variety is embeddable in a finite dimensional algebra over some extension of the base field. The author has given a complete description of the varieties of Lie algebras over an infinite field that are extremal with respect to the condition of being locally representable.
reviewed by: Plamen Koshlukov
Mathematics Subject Classification ID: 17B01
Mathematics Subject Classification ID: 16R10
Mathematics Subject Classification ID: 16R20
zbMATH DE Number: 484256
zbMATH Keywords: local representability
zbMATH Keywords: embeddable varieties
zbMATH Keywords: extremal varieties of Lie algebras
author: Mikhail Zaicev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 484256