Bicovariant Differential Geometry of the Quantum Group $SL_h(2)$

Details Bicovariant Differential Geometry of the Quantum Group $SL_h(2)$ Bicovariant Differential Geometry of the Quantum Group $SL_h(2)$

1994-04-18

arxiv.org/abs/hep-th/9404105v2

Lett.Math.Phys. 35 (1995) 303-311

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1007/BF00750837

There are only two quantum group structures on the space of two by two unimodular matrices, these are the $SL_q(2)$ and the $SL_h(2)$ [9-13] quantum groups. One can not construct a differential geometry on $ SL_q(2)$, which at the same time is bicovariant, has three generators, and satisfies the Liebnitz rule. We show that such a differential geometry exists for the quantum group $SL_h(2)$ and derive all of its properties.

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