Differential Calculus on Quantum Spheres
量子代数
2007-05-23 v3
摘要
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.
引用
@article{arxiv.math/9802087,
title = {Differential Calculus on Quantum Spheres},
author = {Martin Welk},
journal= {arXiv preprint arXiv:math/9802087},
year = {2007}
}
备注
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