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Principal Realization for the extended affine Lie algebra of type $sl_2$ with coordinates in a simple quantum torus with two generators

Stephen Berman·Jacek Szmigielski
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Abstract

We construct an irreducible representation for the extended affine algebra of type $sl_2$ 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 $A_{\infty}$.

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Stephen Berman, Jacek Szmigielski. 1998-05-04. Principal Realization for the extended affine Lie algebra of type $sl_2$ with coordinates in a simple quantum torus with two generators. https://arxiv.org/abs/hep-th/9805016

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