Noncommutative Superspaces Covariant Under $OSp_q(1|2)$ Algebra
Quantum Algebra
2007-05-23 v1
Abstract
Using the corepresentation of the quantum group 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 In particular, a one-parameter family of covariant algebras, which may be interpreted as noncommutative superspheres, is constructed.
Cite
@article{arxiv.math/0511436,
title = {Noncommutative Superspaces Covariant Under $OSp_q(1|2)$ Algebra},
author = {N. Aizawa and R. Chakrabarti},
journal= {arXiv preprint arXiv:math/0511436},
year = {2007}
}
Comments
12pages, no figure, Submitted for the Proceedings of "IV. International Symposium, Quantum Theory and Symmetries", Varna, 2005