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Differential calculus onq-deformed grassmann manifolds

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Czechoslovak Journal of Physics Aims and scope

Abstract

Covariant first order differential calculus over quantum complex Grassmann manifolds is considered. It is shown by a Pusz-Woronowicz type argument that under restriction to calculi close to the classical Kähler differentials there exist exactly two such calculi for the homogeneous coordinate ring. Complexification and localization procedures are used to induce covariant first order differential calculi over the quantum Grassmann manifolds.

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  1. Fachbereich Mathematik, Universität Leipzig, Augustusplatz 10, 04109, Leipzig, Germany

    Stefan Kolb

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  1. Stefan Kolb
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Kolb, S. Differential calculus onq-deformed grassmann manifolds. Czech J Phys 51, 1355–1361 (2001). https://doi.org/10.1023/A:1013330305688

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  • DOI: https://doi.org/10.1023/A:1013330305688

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