Bicovariant Differential Geometry of the Quantum Group $SL_h(2)$
High Energy Physics - Theory
2009-10-28 v2 Quantum Algebra
Abstract
There are only two quantum group structures on the space of two by two unimodular matrices, these are the and the [9-13] quantum groups. One can not construct a differential geometry on , 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 and derive all of its properties.
Keywords
Cite
@article{arxiv.hep-th/9404105,
title = {Bicovariant Differential Geometry of the Quantum Group $SL_h(2)$},
author = {Vahid Karimipour},
journal= {arXiv preprint arXiv:hep-th/9404105},
year = {2009}
}