Graded Lie algebras of depth one
type: Item
instance of: scholarly article
title: Graded Lie algebras of depth one
zbMATH Open document ID: 0692.55007
DOI: 10.1007/BF02568488
author: Rikard Bøgvad
author: Carl Jacobsson
published in: Manuscripta Mathematica
publication date: 1989-01-01T00:00:00Z
review text: The authors prove that an infinite dimensional graded (connected) Lie algebra of depth 1 always contains a free Lie subalgebra on two generators. If X is a simply connected topological space, it is well known that the depth of the rational homotopy Lie algebra of X is less than or equal to the category of X. It results that the rational homotopy Lie algebras of certain spaces contain infinite free Lie subalgebras.
reviewed by: Yves Félix
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 55P35
Mathematics Subject Classification ID: 17B55
zbMATH DE Number: 4133113
zbMATH Keywords: free Lie subalgebra
zbMATH Keywords: rational homotopy Lie algebra
zbMATH Keywords: category
MaRDI profile type: Publication
cites work: The enveloping algebra of a graded Lie algebra of global dimension two contains a free subalgebra on two generators
cites work: Groups of cohomological dimension one
cites work: The Radical of the Homotopy Lie Algebra
cites work: The homotopy Lie algebra for finite complexes
full work available at URL: https://doi.org/10.1007/bf02568488
OpenAlex ID: W2086013535
description: scientific article; zbMATH DE number 4133113