The Lie structure of enveloping algebras
type: Item
instance of: scholarly article
title: The Lie structure of enveloping algebras
zbMATH Open document ID: 0798.17011
author: David Riley
author: Aner Shalev
published in: Journal of Algebra
publication date: 1994-04-19T00:00:00Z
review text: The authors determine for precisely which Lie algebras \(L\) over fields of characteristic \(p>0\) the restricted universal enveloping algebra \(u(L)\) is Lie solvable (for \(p>2\)), Lie nilpotent, or satisfies the Engel condition. One of the consequences of these results is that Lie solvability is equivalent to Lie nilpotence in graded group rings of odd characteristic.
Mathematics Subject Classification ID: 17B50
Mathematics Subject Classification ID: 17B35
Mathematics Subject Classification ID: 17B30
zbMATH DE Number: 554195
zbMATH Keywords: modular Lie algebras
zbMATH Keywords: restricted universal enveloping algebra
zbMATH Keywords: Engel condition
zbMATH Keywords: Lie solvability
zbMATH Keywords: Lie nilpotence
zbMATH Keywords: graded group rings
MaRDI profile type: Publication
full work available at URL: jabr.1993.1240
OpenAlex ID: W1972193682
Wikidata QID: Q115396276
DOI: 10.1006/JABR.1993.1240
description: scientific article; zbMATH DE number 554195