Covariant differential calculus on quantum spheres of odd dimension

Author: Welk M.

Source: Czechoslovak Journal of Physics, Volume 48, Number 11, November 1998 , pp. 1507-1514(8)

Publisher: Springer

Abstract:

We study covariant differential calculus on the quantum spheres {\rm S}^{2N-1}_q. 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.

Language: English

Document Type: Research article

Affiliations: 1: Mathematical Institute, University of Leipzig, 04009 Leipzig, Germany

Publication date: 1998-11-01

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