COVARIANT DIFFERENTIAL CALCULUS ON QUANTUM SPHERES OF ODD DIMENSION*)

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Abstract

We study covariant differential calculus on the quantum spheres S2N−1q. 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 first and higher order calculi and a symmetry concept.

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