Quantum Group Symmetry and Quantum Hall Wavefunctions on a Torus

Abstract

We find a quantum group structure in two-dimensional motion of nonrelativistic electrons in a uniform magnetic field on a torus. The representation basis of the quantum algebra is composed of the quantum Hall wavefunctions proposed by Haldane-Rezayi at the Landau-level filling factor $\nu =1/m$ ($m$ odd). It is also shown that the quantum group symmetry is relevant to the degenerate Landau states and the deformation parameter of the quantum algebra is given by the filling factor.

9 pages, OS-GE-39-93

References in corpus (1)

• Landau Levels and Quantum Group

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