43 citations · 486 across the 43 of their papers we have counts for
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Quantum Group Symmetry and Quantum Hall Wavefunctions on a Torus
H. -T. Sato
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…
Quantum Group and -Virasoro Current in Fermion Systems
H-T. Sato
We discuss a generalization of the quantum group $\su$ to the -Virasoro algebra in two-dimensional electrons system under uniform magnetic field. It is shown that the integral r…
Landau Levels and Quantum Group
H. -T. Sato
We find a quantum group structure in two-dimensional motions of a nonrelativistic electron in a uniform magnetic field and in a periodic potential. The representation basis of the…
Quantum affine transformation group and covariant differential calculus
N. Aizawa, H. -T. Sato
We discuss quantum deformation of the affine transformation group and its Lie algebra. It is shown that the quantum algebra has a non-cocommutative Hopf algebra structure, simple r…
Quantum Deformation of the Affine Transformation Algebra
N. Aizawa, H. -T. Sato
We discuss quantum deformation of the affine transformation algebra. It is shown that the quantum algebra has a non-cocommutative Hopf algebra structure, simple realizations and qu…