Quantum Group and q-Virasoro Current in Fermion Systems
Abstract
We discuss a generalization of the quantum group to the q-Virasoro algebra in two-dimensional electrons system under uniform magnetic field. It is shown that the integral representations of both algebras are reduced to those in a (1+1)-dimensional fermion. As an application of the quantum group symmetry, we discuss a model of quantum group current on the analogy of the Hall current.
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