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Representations of Extended Affine Lie Algebras Coordinatized by Certain Quantum Tori

  • Yun Gao (a1)
  • DOI:
  • Published online: 01 August 2000

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

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