Comments on the Noncommutative Geometry of Quantum Homogeneous Vector Bundles

1998/05/03 by R. B. Zhang, Zhang, R. B.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.math/9805007

Latex with amsfonts, 9 pages

arxiv created 1998/05/03 · openalex publication_date 1998/05/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Geometry of Quantum Homogeneous Vector Bundles and Representation Theory of Quantum Groups I

Related

• Geometry of Quantum Homogeneous Vector Bundles and Representation Theory of Quantum Groups I
• Quantum Principal Bundles
• Geometry of Quantum Principal Bundles II-Extended Version
• Noncommutative Differential Geometry and Twisting of Quantum Groups
• Some aspects of noncommutative differential geometry