Vertex Operators Arising from the Homogeneous Realization for |
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Authors: | Yun Gao |
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Institution: | Department of Mathematics and Statistics, York University, Toronto, Canada M3J 1P3.?E-mail: ygao@yorku.ca, CA
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Abstract: | We use the underlying Fock space for the homogeneous vertex operator representation of the affine Lie algebra to construct a family of vertex operators. As an application, an irreducible module for an extended affine Lie algebra of
type A
N
−1 coordinatized by a quantum torus ℂ
q
of 2 variables (or 3 variables) is obtained. Moreover, this module turns out to be a highest weight module which is an analog
of the basic module for affine Lie algebras.
Received: 16 August 1999 / Accepted: 18 January 2000 |
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Keywords: | |
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