Comments on the Noncommutative Geometry of Quantum Homogeneous Vector Bundles

Details Comments on the Noncommutative Geometry of Quantum Homogeneous Vector Bundles Comments on the Noncommutative Geometry of Quantum Homogeneous Vector Bundles

1998-05-03

arxiv.org/abs/math/9805007v1

Mathematics

Quantum Algebra

Latex with amsfonts, 9 pages

Scientific paper

Differential calculi are obtained for quantum homogeneous spaces by extending
Woronowicz' approach to the present context. Representation theoretical
properties of the differential calculi are investigated. Connections on quantum
homogeneous vector bundles are classified and explicitly constructed by using
the theory of projective modules.

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