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Paper   IPM / Physic / 6489
School of Physics
  Title:   The Quantum De Rham Complexes Associated with SLh(2)
  Author(s):  V. Karimipour
  Status:   Published
  Journal: Lett. Math. Phys.
  No.:  35
  Vol.:  30
  Year:  1994
  Pages:   87-98
  Supported by:  IPM
Quantum de Rham complexes on the quantum plane and the quantum group itself are constructed for the nonstandard deformation of Fun(SL(2)). It is shown that in contrast to the standard q-deformation of SL(2), the above complexes are unique for SLh(2). Also, as a byproduct, a new deformation of the two-dimensional Heisenberg algebra is obtained which can be used to construct models of h-deformed quantum mechanics.

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