Elliptic Quantum Group U_{q,p}(\hat{sl}_2) and Vertex Operators
Quantum Algebra
2008-11-26 v2 Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Introducing an H-Hopf algebroid structure into U_{q,p}(\widedhat{sl}_2), we investigate the vertex operators of the elliptic quantum group U_{q,p}(\widedhat{sl}_2) defined as intertwining operators of infinite dimensional U_{q,p}(\widedhat{sl}_2)-modules. We show that the vertex operators coincide with the previous results obtained indirectly by using the quasi-Hopf algebra B_{q,\lambda}(\hat{sl}_2). This shows a consistency of our H-Hopf algebroid structure even in the case with non-zero central element.
Cite
@article{arxiv.0802.3630,
title = {Elliptic Quantum Group U_{q,p}(\hat{sl}_2) and Vertex Operators},
author = {Hitoshi Konno},
journal= {arXiv preprint arXiv:0802.3630},
year = {2008}
}
Comments
15 pages. Typos fixed. Version to appear in J.Phys.A :Math.and Theor., special issue on Recent Developments in Infinite Dimensional Algebras and Their Applications to Quantum Integrable Systems 2007