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Differential Calculus on Quantum Spheres

Martin Welk
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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.

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Martin Welk. 1998-05-03. Differential Calculus on Quantum Spheres. https://arxiv.org/abs/math/9802087

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