About two classes of simple Lie algebras over a field of characteristic 3
type: Item
instance of: scholarly article
title: About two classes of simple Lie algebras over a field of characteristic 3
zbMATH Open document ID: 0783.17008
author: Tran Nam Dung
published in: Moscow University Mathematics Bulletin
publication date: 1993-03-11T00:00:00Z
review text: The author investigates the detailed structure of the simple Lie algebras of the series \(T\) and \({\mathcal R}\) over fields of characteristic 3 defined by \textit{M. I. Kuznetsov} [Math. USSR, Sb. 66, 145-158 (1990); translation from Mat. Sb. 180, No. 2, 147-158 (1989; Zbl 0671.17008)]. Lie multiplication relative to a certain basis is given, and the question of isomorphism with other known simple algebras of the same dimension is investigated. Other descriptions of these same algebras can be found in articles by the reviewer [Mich. Math. J. 39, 85-90 (1992; Zbl 0755.17016)] and \textit{S. M. Skryabin} [Russ. Acad. Nauk, Sb., Math. 76, 389-406 (1993); translation from Mat. Sb. 183, No. 8, 3-2 (1992)].
Mathematics Subject Classification ID: 17B50
Mathematics Subject Classification ID: 17B05
zbMATH DE Number: 130683
zbMATH Keywords: simple Lie algebras
zbMATH Keywords: series \(T\)
zbMATH Keywords: series \(R\)
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 130683