Quasitriangular structures of bicrossed coproducts
type: Item
instance of: scholarly article
title: Quasitriangular structures of bicrossed coproducts
zbMATH Open document ID: 0914.16015
published in: Journal of Algebra
publication date: 1999-04-19T00:00:00Z
review text: Let \(H\) and \(A\) be two bialgebras (Hopf algebras) coacting on each other. The tensor product \(H\otimes A\) is endowed with a bialgebra (Hopf algebra) structure, called the bicrossed coproduct of \(H\) and \(A\). An example is the dual of the Drinfeld double of a Hopf algebra. The aim of the paper is to show that the bicrossed coproduct is a quasitriangular bialgebra if and only if so are \(H\) and \(A\). Moreover, all quasitriangular structures of the bicrossed coproduct are described in terms of the ones of \(H\) and \(A\).
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 16S35
Mathematics Subject Classification ID: 16S40
zbMATH DE Number: 1218672
zbMATH Keywords: Hopf algebras
zbMATH Keywords: bicrossed coproducts
zbMATH Keywords: universal \(R\)-matrices
zbMATH Keywords: minimal quasitriangular bialgebras
zbMATH Keywords: Drinfeld doubles
author: Huixiang Chen
reviewed by: Sorin Dascalescu
MaRDI profile type: Publication
full work available at URL: jabr.1997.7381
OpenAlex ID: W2077796691
cites work: Q3819193
cites work: Q5749435
cites work: Q4317887
cites work: Q4274976
cites work: QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
cites work: Minimal quasitriangular Hopf algebras
cites work: On the quasitriangular structures of a semisimple Hopf algebra
cites work: Q5590089
DOI: 10.1006/JABR.1997.7381
description: scientific article; zbMATH DE number 1218672