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Principal Realization for the extended affine Lie algebra of type sl2 with coordinates in a simple quantum torus with two generators

Stephen Berman, Jacek Szmigielski

hep-tharXiv:hep-th/9805016

Abstract

We construct an irreducible representation for the extended affine algebra of type sl2 with coordinates in a quantum torus. We explicitly give formulas using vertex operators similar to those found in the theory of the infinite rank affine algebra A∞.

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