Noncommutative Geometry of Super-Jordanian Covariant Quantum Space
arXiv:math/0311161 · doi:10.1063/1.1650538
Abstract
Extending a recently proposed procedure of construction of various elements of diffential geometry on noncommutative algebras, we obtain these structures on noncommutative superalgebras. As an example, a quantum superspace covariant under the action of super-Jordanian is studied. It is shown that there exist a two paramater 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.
19 pages