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Bicovariant differential geometry of the quantum group SL h (2)
Authors:V. Karimipour
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
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.
Keywords:81R50  16W30  58B30
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