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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55453We 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 $A_{\infty}$.High Energy Physics - TheoryMathematical PhysicsQuantum AlgebraPrincipal Realization for the extended affine Lie algebra of type $sl_2$ with coordinates in a simple quantum torus with two generatorstext