On nilpotent Lie algebras of small breadth

2014/10/10 by Khuhirun, Borworn, Misra, Kailash C., Stitzinger, Ernie · 2 citations
#17B30 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1410.2778

Abstract

A Lie algebra L is said to be of breadth k if the maximal dimension of the images of left multiplication by elements of the algebra is k. In this paper we give characterization of finite dimensional nilpotent Lie algebras of breadth less than or equal to two. Furthermore, using these characterizations we determined the isomorphism classes of these algebras.

Cited by

• On solvable Lie algebras of small breadth
• A New Definition of Superbiderivations for Lie Superalgebras

Related

• Breadth and characteristic sequence of nilpotent Lie algebras
• On solvable Lie algebras of small breadth
• Low dimensional nilpotent n-Lie algebras
• The breadth of Lie poset algebras
• Computing faithful representations for nilpotent Lie algebras