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The quantum de Rham complexes associated with SL h (2)

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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 standardq-deformation of SL(2), the above complexes are unique for SL h (2). Also, as a byproduct, a new deformation of the two-dimensional Heisenberg algebra is obtained which can be used to construct models ofh-deformed quantum mechanics.

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Authors and Affiliations

  1. Department of Physics, Sharif University of Technology, PO Box 11365-9161, Tehran, Iran

    Vahid Karimipour

  2. Institute for Studies in Theoretical Physics and Mathematics, PO Box 19395-5742, Tehran, Iran

    Vahid Karimipour

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  1. Vahid Karimipour
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Karimipour, V. The quantum de Rham complexes associated with SL h (2). Lett Math Phys 30, 87–98 (1994). https://doi.org/10.1007/BF00939696

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  • DOI: https://doi.org/10.1007/BF00939696

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