Quotients of maximal class of thin Lie algebras. The odd characteristic case

A. Caranti*, G. Jurman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

Among thin graded Lie algebras, which are particular instances of Lie algebras of finite width, there are many interesting objects, such as the graded Lie algebra associated to the Nottingham group. Among the factors of a thin algebra with respect to the terms of the lower central series, there is a greatest factor which is of maximal class. In thin Lie algebras associated to groups, this factor is metabelian. In this paper we show that the same holds in general, provided the characteristic of the underlying field is odd. In another paper by the second author it is shown that this is not the case for characteristic two.

Original languageEnglish
Pages (from-to)5741-5748
Number of pages8
JournalCommunications in Algebra
Volume27
Issue number12
DOIs
Publication statusPublished - 1999
Externally publishedYes

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