A class of Hilbert space representations of the quantum plane and the quantum algebra \(U_q(\text{sl}_2)\)
type: Item
instance of: scholarly article
title: A class of Hilbert space representations of the quantum plane and the quantum algebra \(U_q(\text{sl}_2)\)
zbMATH Open document ID: 1178.81121
DOI: 10.1016/S0034-4877(08)00013-X
author: Asao Arai
published in: Reports on Mathematical Physics
publication date: 2009-06-18T00:00:00Z
Mathematics Subject Classification ID: 81R50
Mathematics Subject Classification ID: 46L89
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 5566468
zbMATH Keywords: quantum plane
zbMATH Keywords: quantum algebra
zbMATH Keywords: singular magnetic field
MaRDI profile type: Publication
cites work: Canonical commutation relations, the Weierstrass Zeta function, and infinite dimensional Hilbert space representations of the quantum group U q(𝔰𝔩2)
cites work: Representation-theoretic aspects of two-dimensional quantum systems in singular vector potentials: Canonical commutation relations, quantum algebras, and reduction to lattice quantum systems
cites work: Q4317887
cites work: Q4375485
cites work: Operator representations of \(\mathbb{R}_ q^ 2\)
cites work: Integrable operator representations of \(\mathbb{R}_ q^ 2\), \(X_{q,\gamma}\) and \(SL_ q(2,\mathbb{R})\)
cites work: Operator representations of \(\mathcal{U}_ q(sl_ 2(\mathbb{R}))\)
cites work: Quantum group and magnetic translations Bethe ansatz for the Asbel-Hofstadter problem
full work available at URL: s0034-4877(08)00013-x
OpenAlex ID: W2153776895
description: scientific article; zbMATH DE number 5566468