The differential realization of new solutions for Yang-Baxter equation
type: Item
instance of: scholarly article
title: The differential realization of new solutions for Yang-Baxter equation
zbMATH Open document ID: 0762.17017
published in: Chinese Science Bulletin
publication date: 1993-01-16T00:00:00Z
review text: Using a \(q\)-differential realization of the quantum algebra \(sl_ q(2)\) on the Bargmann space, which is obtained in comparison to its \(q\)-boson \((q\)-oscillator) realization, we construct the indecomposable representation of \(sl_ q(2)\) for \(q\) a root of unity. Then, we obtain some new solutions for the Yang-Baxter equation \(R_{12}R_{13}R_{23}=R_{23}R_{13}R_{12}\) from these new representations. These new solutions are different from both the standard solutions and the non-standard ones.
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 81R50
zbMATH DE Number: 95719
zbMATH Keywords: indecomposable representation
zbMATH Keywords: \(q\)-differential realization
zbMATH Keywords: quantum algebra \(sl_ q(2)\)
zbMATH Keywords: Bargmann space
zbMATH Keywords: Yang-Baxter equation
author: Chang-Pu Sun
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 95719