Lie bialgebras arising from alternative and Jordan bialgebras
type: Item
instance of: scholarly article
title: Lie bialgebras arising from alternative and Jordan bialgebras
zbMATH Open document ID: 1219.17018
author: Maxim Goncharov
published in: Siberian Mathematical Journal
publication date: 2010-11-15T00:00:00Z
review text: Let \(A\) be a finite-dimensional alternative noncommutative algebra over an algebraically closed field of characteristic different from 2. The author proves that \(A\) admits the nontrivial structure of an alternative \(D\)-bialgebra with cocommutative comultiplication on the center.
reviewed by: Florin Nicolae
Mathematics Subject Classification ID: 17B62
Mathematics Subject Classification ID: 17B60
Mathematics Subject Classification ID: 17C50
Mathematics Subject Classification ID: 17D05
zbMATH DE Number: 5816235
zbMATH Keywords: alternative bialgebra
zbMATH Keywords: Jordan bialgebra
zbMATH Keywords: classical Yang-Baxter equation
zbMATH Keywords: nonassociative coalgebra
zbMATH Keywords: Cayley-Dickson algebra
MaRDI profile type: Publication
full work available at URL: s11202-010-0022-7
OpenAlex ID: W2026633226
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DOI: 10.1007/S11202-010-0022-7
description: scientific article; zbMATH DE number 5816235