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Bicovariant differential geometry of the quantum group SL h (2)

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Abstract

There are only two quantum group structures on the space of two by two unimodular matrices, these are the SL q (2) and the SL h (2) quantum groups. The differential geometry of SL q (2) is well known. In this Letter, we develop the differential geometry of SL h (2), and show that the space of left invariant vector fields is three-dimensional.

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Authors and Affiliations

  1. Institute for Studies in Theoretical Physics and Mathematics (IPM), PO Box 19395-5746, Tehran, Iran

    V. Karimipour

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

    V. Karimipour

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  1. V. Karimipour
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Karimipour, V. Bicovariant differential geometry of the quantum group SL h (2). Lett Math Phys 35, 303–311 (1995). https://doi.org/10.1007/BF00750837

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  • DOI: https://doi.org/10.1007/BF00750837

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