Article ID Journal Published Year Pages File Type
4588399 Journal of Algebra 2007 9 Pages PDF
Abstract

In this note we study the Lie derived lengths of a restricted enveloping algebra u(L), for a non-abelian restricted Lie algebra L over a field of positive characteristic p. For p>2 we show that if the Lie derived length of u(L) is minimal then u(L) is Lie nilpotent. Moreover, we investigate the case when the strong Lie derived length of u(L) is minimal. For odd p we establish a classification of Lie centrally metabelian restricted enveloping algebras.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory