Differential Calculus on q-Deformed Grassmann Manifolds

Author: Kolb S.

Source: Czechoslovak Journal of Physics, Volume 51, Number 12, December 2001 , pp. 1355-1361(7)

Publisher: Springer

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.

Language: English

Document Type: Regular paper

Affiliations: 1: Fachbereich Mathematik, Universität Leipzig, Augustusplatz 10, 04109 Leipzig, Germany; kolb@itp.uni-leipzig.de

Publication date: 2001-12-01

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