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Paper   IPM / Physic / 6518
School of Physics
  Title:   Quantum Group Symmetry of the Quantum Hall Effect on Non-Flat Surfaces
1.  M. Alimohammadi
2.  A. Shafei Deh Abad
  Status:   Published
  Journal: J. Phys. A: Math. Gen.
  No.:  28
  Vol.:  29
  Year:  1996
  Pages:   559-563
  Supported by:  IPM
After showing that the magnetic translation operators are not the symmetries of the quantum Hall effect () on non-flat surfaces, we show that another set of operators which leads to the quantum group symmetries for some of these surfaces exists. As a first example we show that the su(2) symmetry of the on a sphere leads to suq(2) algebra in the equator. We explain this result by a contraction of su(2). Second, with the help of the symmetry operators of on the Poincar\acutee upper half plane, we will show that the ground-state wavefunctions form a representation of the suq(2) algebra.

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