Finitary Lie algebras.
type: Item
instance of: scholarly article
title: Finitary Lie algebras.
zbMATH Open document ID: 1106.17303
DOI: 10.1016/S0021-8693(02)00079-0
author: A. A. Baranov
author: Helmut Strade
published in: Journal of Algebra
publication date: 2003-02-12T00:00:00Z
review text: A Lie algebra is called finitary if it consists of finite-rank linear transformations of a vector space. The authors classify all infinite-dimensional finitary simple Lie algebras over an algebraically closed field of characteristic not 2 or 3. They also do the same for finitary irreducible Lie algebras. The simple algebras of the classification are finitary special linear algebras, finitary orthogonal algebras and finitary symplectic algebras. Finitary irreducible algebras, in addition to the simple algebras, also include finitary general linear algebras.
Mathematics Subject Classification ID: 17B65
zbMATH DE Number: 1867975
zbMATH Keywords: infinite-dimensional finitary simple Lie algebras
zbMATH Keywords: finitary irreducible Lie algebras
Wikidata QID: Q115340538
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1867975