Power-associative Lie-admissible algebras
type: Item
instance of: scholarly article
title: Power-associative Lie-admissible algebras
zbMATH Open document ID: 0542.17012
DOI: 10.1016/0021-8693(84)90196-0
author: Georgia Benkart
published in: Journal of Algebra
publication date: 1984-01-01T00:00:00Z
review text: An algebra A is third-power-associative if its multiplication, *, satisfies the identity \(x*(x*x)=(x*x)*x.\) This paper presents a determination of all finite-dimensional, third-power-associative, Lie- admissible algebras A over a field of characteristic zero in the case that \(A^-\) is a semisimple Lie algebra.
Mathematics Subject Classification ID: 17D25
Mathematics Subject Classification ID: 17A05
Mathematics Subject Classification ID: 17A30
zbMATH DE Number: 3861401
zbMATH Keywords: characteristic zero
zbMATH Keywords: third-power-associative
zbMATH Keywords: Lie-admissible algebras
zbMATH Keywords: semisimple Lie algebra
Wikidata QID: Q115367026
reviewed by: Steven C. Althoen
MaRDI profile type: Publication
full work available at URL: 0021-8693(84)90196-0
OpenAlex ID: W2026466420
cites work: Q3937554
cites work: Flexible Lie-admissible algebras
cites work: Q4744442
cites work: Q3904742
cites work: Introduction to Lie Algebras and Representation Theory
cites work: Some Lie Admissible Algebras
cites work: Q3208841
cites work: Q3866254
cites work: Q5522244
cites work: Algebras Based on Linear Functions
cites work: Q3244144
description: scientific article; zbMATH DE number 3861401