Noncommutative Geometry of Super-Jordanian $OSp_h(2/1)$ Covariant Quantum Space

Details Noncommutative Geometry of Super-Jordanian $OSp_h(2/1)$ Covariant Quantum Space Noncommutative Geometry of Super-Jordanian $OSp_h(2/1)$ Covariant Quantum Space

2003-11-11

arxiv.org/abs/math/0311161v1

J. Math. Phys. 45 (2004) 1623-1638

Mathematics

Quantum Algebra

19 pages

Scientific paper

10.1063/1.1650538

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 $OSp_h(2/1)$ 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.

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