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Quantum Differentials and the q-Monopole Revisited

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Abstract

The q-monopole bundle introduced previously is extended to ageneral construction for quantum group bundles with nonuniversaldifferential calculi. We show that the theory applies to several otherclasses of bundles as well, including bicrossproduct quantum groups, thequantum double and combinatorial bundles associated with covers of compactmanifolds.

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Authors and Affiliations

  1. Department of Mathematics, University of York, Heslington, York YO1 5DD, United Kingdom

    Tomasz Brzeziński

  2. Department of Applied Mathematics Theoretical Physics, University of Cambridge, Cambridge, CB3 9EW, United Kingdom

    Shahn Majid

Authors
  1. Tomasz Brzeziński
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  2. Shahn Majid
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Brzeziński, T., Majid, S. Quantum Differentials and the q-Monopole Revisited. Acta Applicandae Mathematicae 54, 185–232 (1998). https://doi.org/10.1023/A:1006053806824

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