Dynamical group for the quantum Hall current

H. -R. Grümm, Heide Narnhofer, Walter E Thirring

João C. Getelina, Martin Puschmann, José A. Hoyos +1 more

Denis Bernard, André LeClair

建一 浅野

Haru-Tada Sato

We discuss a generalization of the quantum group Uq(sl(2)) 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.

B. G. Wybourne