Principal Realization for the extended affine Lie algebra of type sl₂ with coordinates in a simple quantum torus with two generators
classification
✦ hep-th
math-phmath.MPmath.QA
keywords
affinealgebracoordinatesextendedquantumtorustypeconstruct
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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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