Self-inverse Yang-Baxter operators from (co)algebra structures
type: Item
instance of: scholarly article
title: Self-inverse Yang-Baxter operators from (co)algebra structures
zbMATH Open document ID: 0944.16033
published in: Journal of Algebra
publication date: 1999-12-20T00:00:00Z
review text: The author associates a solution \(R\colon V\otimes V\to V\otimes V\) of the braid equation to any (co)algebra structure on the vector space \(V\). The relation between two (co)algebra structures producing the same solution \(R\) is determined. An internal characterization for solutions associated to (co)algebra structures is given. We note that the construction of the solution \(R\) arising from an algebra structure has been given by \textit{P. Nuss} [K-Theory 12, No. 1, 23-74 (1997; Zbl 0884.18015)].
reviewed by: Sorin Dascalescu
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 16W35
zbMATH DE Number: 1348181
zbMATH Keywords: braid equation
zbMATH Keywords: quantum Yang-Baxter equation
zbMATH Keywords: algebras
zbMATH Keywords: coalgebras
author: Florin F. Nichita
MaRDI profile type: Publication
full work available at URL: jabr.1999.7915
OpenAlex ID: W1969704596
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DOI: 10.1006/JABR.1999.7915
description: scientific article; zbMATH DE number 1348181