Leibniz rules and reality conditions |
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| Authors: | G. Fiore J. Madore |
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| Affiliation: | Dip. di Matematica e Applicazioni, Fac. di Ingegneria, Università di Napoli, V. Claudio 21, 80125 Napoli, Italy, IT
Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), F?hringer Ring 6, 80805 München, Germany, DE
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| Abstract: | An analysis is made of reality conditions within the context of non-commutative geometry. We show that if a covariant derivative satisfies a given left Leibniz rule then a right Leibniz rule fixes the reality condition for the covariant derivative itself. We show also that the map which determines the right Leibniz rule must satisfy the braid equation if the extension of the covariant derivative to tensor products is to satisfy the reality condition. Received: 6 June 2000 / Published online: 9 August 2000 |
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