1 1 N ov 2 00 3 Noncommutative Geometry of Super - Jordanian OSp h ( 2 / 1 ) Covariant Quantum Space
نویسنده
چکیده
Extending a recently proposed procedure of construction of various elements of differential geometry on noncommutative algebras, we obtain these structures on noncommu-tative superalgebras. As an example, a quantum superspace covariant under the action of super-Jordanian OSp h (2/1) is studied. It is shown that there exist a two-parameter family of torsionless connections, and the curvature computed from this family of connections is bilinear. It is also shown that the connections are not compatible with the metric.
منابع مشابه
3 J an 2 00 3 Super - Jordanian Quantum Superalgebra U h ( osp
A triangular quantum deformation of osp(2/1) from the classical r-matrix including an odd generator is presented with its full Hopf algebra structure. The deformation maps, twisting element and tensor operators are considered for the deformed osp(2/1). It is also shown that its subalgebra generated by the Borel subalgebra is self-dual.
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