Metabelian thin Lie algebras

Germany, Lisa; Monti, Valerio; Young, David

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Metabelian thin Lie algebras

Date

2001

Authors

Germany, Lisa

Monti, Valerio

Young, David

Publisher

Elsevier

Abstract

A graded Lie algebra is thin if it is generated by two elements of degree 1 and each of its homogeneous ideals is located between two consecutive terms of the lower central series. In this paper we give a complete classification of the metabelian thin Lie algebras and their graded automorphism groups.