Differential Calculus on Quantum Spheres
Abstract
We study covariant differential calculus on the quantum spheres S_q^2N-1. Two classification results for covariant first order differential calculi are proved. As an important step towards a description of the noncommutative geometry of the quantum spheres, a framework of covariant differential calculus is established, including a particular first order calculus obtained by factorization, higher order calculi and a symmetry concept.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- February 1998
- DOI:
- 10.48550/arXiv.math/9802087
- arXiv:
- arXiv:math/9802087
- Bibcode:
- 1998math......2087W
- Keywords:
-
- Mathematics - Quantum Algebra;
- 17B37;
- 46L87;
- 81R50
- E-Print:
- 27 pages, no figures, Latex2e. The classification of first order differential calculi which was collapsed by an error in the first version of this paper has been corrected and, at the same time, extended to a more general situation