Vertex operator representations of extended affine Lie algebras: Principal Realization.

Yun Gao
(York University)

An irreducible representation of the extended affine Lie algebra of type $A_{n-1}$ coordinatized by a quantum torus of 2variables is obtained by using the Fock space for the principal vertex operator realization of the affine Lie algebra $\widetilde{gl}_n$.