Quantum group symmetry of the Quantum Hall effect on the non-flat surfaces
نویسنده
چکیده
After showing that the magnetic translation operators are not the symmetries of the QHE on non-flat surfaces , we show that there exist another set of operators which leads to the quantum group symmetries for some of these surfaces . As a first example we show that the su(2) symmetry of the QHE on sphere leads to suq(2) algebra in the equator . We explain this result by a contraction of su(2) . Secondly , with the help of the symmetry operators of QHE on the Pioncare upper half plane , we will show that the ground state wave functions form a representation of the suq(2) algebra .
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