IJPAM: Volume 86, No. 3 (2013)
Department of Mathematics
Abstract. Let Mn,m be a free metabelian nilpotent Lie algebra of rank n and nilpotency class m-1. We show that Mn,m admits a minimal presentation whose set of defining relators is the set of all basic commutators of length m.
Received: March 12, 2013
AMS Subject Classification: 17B01
Key Words and Phrases: free metabelian nilpotent Lie algebra, presentation
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DOI: 10.12732/ijpam.v86i3.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395