Differential Calculus on Quantum Spheres

Mathematics – Quantum Algebra

Scientific paper

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27 pages, no figures, Latex2e. The classification of first order differential calculi which was collapsed by an error in the f

Scientific paper

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.

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