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“School of Physic”

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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
  Abstract:
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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