Bicovariant differential geometry of the quantum group SL h (2) |
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Authors: | V. Karimipour |
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Affiliation: | (1) Institute for Studies in Theoretical Physics and Mathematics (IPM), PO Box 19395-5746, Tehran, Iran;(2) Iran and Department of Physics, Sharif University of Technology, PO Box 11365-9161, Tehran, Iran |
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Abstract: | There are only two quantum group structures on the space of two by two unimodular matrices, these are the SLq(2) and the SLh(2) quantum groups. The differential geometry of SLq(2) is well known. In this Letter, we develop the differential geometry of SLh(2), and show that the space of left invariant vector fields is three-dimensional. |
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Keywords: | 81R50 16W30 58B30 |
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