The centroid of a Lie triple algebra
type: Item
instance of: scholarly article
title: The centroid of a Lie triple algebra
zbMATH Open document ID: 1291.17003
DOI: 10.1155/2013/404219
author: Liangyun Chen
author: Xiaohong Liu
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: General results on the centroids of Lie triple algebras are developed. Centroids of the tensor product of a Lie triple algebra and a unitary commutative associative algebra are studied. Furthermore, the centroid of the tensor product of a simple Lie triple algebra and a polynomial ring is completely determined.
Mathematics Subject Classification ID: 17A40
zbMATH DE Number: 6306803
Wikidata QID: Q58916186
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/404219
OpenAlex ID: W2012004896
cites work: Q3859953
cites work: Q5513077
cites work: Hom-Lie-Yamaguti structures on Hom-Leibniz algebras
cites work: A twisted generalization of Lie-Yamaguti algebras
cites work: Irreducible Lie-Yamaguti algebras
cites work: Remarks on the construction of Lie-Yamaguti algebras from Leibniz algebras
cites work: A Structure Theory of Lie Triple Systems
cites work: The centroid of extended affine and root graded Lie algebras
cites work: Centroids of nilpotent lie algabras
cites work: On some algebras related to simple Lie triple systems
cites work: Q3169805
cites work: Centroid structures of \(n\)-Lie algebras
description: scientific article; zbMATH DE number 6306803