Generalized Jordanian \(R\)-matrices of Cremmer-Gervais type.
type: Item
instance of: scholarly article
title: Generalized Jordanian \(R\)-matrices of Cremmer-Gervais type.
zbMATH Open document ID: 1067.81070
DOI: 10.1023/A:1007693603336
author: Robin Endelman
author: Timothy J. Hodges
published in: Letters in Mathematical Physics
publication date: 2000-01-01T00:00:00Z
review text: An explicit quantization is given of certain skew-symmetric solutions of the classical Yang-Baxter equation, yielding a family of \(R\)-matrices which generalize to higher dimensions the Jordanian R-matrices. Three different approaches to their construction are given: as twists of degenerations of the Shibukawa-Ueno, Yang-axter operators on meromorphic functions; as boundary solutions of the quantum Yang-Baxter equation; via a vertex-IRF transformation from solutions to the dynamical Yang-Baxter equation.
Mathematics Subject Classification ID: 81R50
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 1552967
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1552967