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arXiv · 0802.3630

Elliptic Quantum Group U_{q,p}(\hat{sl}_2) and Vertex Operators

Hitoshi Konno
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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,λ}(\hat{sl}_2). This shows a consistency of our H-Hopf algebroid structure even in the case with non-zero central element.

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Hitoshi Konno. 2008-03-12. Elliptic Quantum Group U_{q,p}(\hat{sl}_2) and Vertex Operators. https://doi.org/10.1088/1751-8113/41/19/194012

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