Models for free nilpotent Lie algebras
type: Item
instance of: scholarly article
title: Models for free nilpotent Lie algebras
zbMATH Open document ID: 0717.17006
DOI: 10.1016/0021-8693(90)90156-I
published in: Journal of Algebra
publication date: 1990-01-01T00:00:00Z
review text: The free nilpotent Lie algebra \({\mathfrak g}_{M,r}\) is the quotient of the free Lie algebra \({\mathfrak g}_ M\) in M generators by the r-th element of the upper central series. The authors show how one can realize this Lie algebra by vector-fields on \({\mathbb{R}}^ N\) where N is the dimension of \({\mathfrak g}_{M,r}\). As an application they solve explicitly the control problem associated to the corresponding vectorfields in the case \(M=2\).
reviewed by: Joachim Hilgert
Mathematics Subject Classification ID: 17B01
Mathematics Subject Classification ID: 93B29
Mathematics Subject Classification ID: 17B30
Mathematics Subject Classification ID: 17B66
zbMATH DE Number: 4181583
zbMATH Keywords: algorithm
zbMATH Keywords: vector fields
zbMATH Keywords: generators
zbMATH Keywords: flows
zbMATH Keywords: free nilpotent Lie algebra
zbMATH Keywords: control
Wikidata QID: Q115365953
author: Matthew A. Grayson
author: Robert L. Grossman
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4181583