Laplacian and homology of free two-step nilpotent Lie algebras
type: Item
instance of: scholarly article
title: Laplacian and homology of free two-step nilpotent Lie algebras
zbMATH Open document ID: 0868.17015
author: Stefan Sigg
published in: Journal of Algebra
publication date: 1997-08-21T00:00:00Z
review text: The author determines the homology (with trivial coefficients) of the two-step nilpotent Lie algebra \({\mathbf m}_r:= {\mathbf f}_r/ C^3({\mathbf f}_r)\), where \({\mathbf f}_r\) is the free Lie algebra of rank \(r\) and \(C^3({\mathbf f}_r):= [{\mathbf f}_r,[{\mathbf f}_r,{\mathbf f}_r]]\), over the complex number field by working out the structure of the homology as a module of the general linear group. The article under review is a shortened version of the author's doctoral thesis under the title ``Laplace- Operator und Homologie von freien nilpotenten Lie Algebren der Klasse 2'', which was reviewed in Zbl 0854.17024.
Mathematics Subject Classification ID: 17B56
Mathematics Subject Classification ID: 17B30
Mathematics Subject Classification ID: 17B55
zbMATH DE Number: 941228
zbMATH Keywords: Laplacian
zbMATH Keywords: homology
zbMATH Keywords: two-step nilpotent Lie algebra
zbMATH Keywords: free Lie algebra
Wikidata QID: Q115396076
reviewed by: Guangyu Shen
MaRDI profile type: Publication
full work available at URL: jabr.1996.0317
OpenAlex ID: W2020887724
DOI: 10.1006/JABR.1996.0317
description: scientific article; zbMATH DE number 941228