| Noncommutative Superspaces Covariant Under $OSp_q(1|2)$ Algebra (2005) | |||||||||
Abstract | |||||||||
| Using the corepresentation of the quantum group $ SL_q(2)$ a general method for constructing noncommutative spaces covariant under its coaction is developed. The method allows us to treat the quantum plane and Podle\'s' quantum spheres in a unified way and to construct higher dimensional noncommutative spaces systematically. Furthermore, we extend the method to the quantum supergroup $ OSp_q(1|2).$ In particular, a one-parameter family of covariant algebras, which may be interpreted as noncommutative superspheres, is constructed.. Comment: 12pages, no figure, Submitted for the Proceedings of "IV. International Symposium, Quantum Theory and Symmetries", Varna, 2005 | |||||||||
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