Differential Calculus on Quantum Spheres
Abstract
Description
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.
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
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