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Gerbes and Lie Groups

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Developments and Trends in Infinite-Dimensional Lie Theory

Part of the book series: Progress in Mathematics ((PM,volume 288))

Summary

Compact Lie groups do not only carry the structure of a Riemannian manifold, but also canonical families of bundle gerbes. We discuss the construction of these bundle gerbes and their relation to loop groups. We present several algebraic structures for bundle gerbes with connection, such as Jandl structures, gerbe modules and gerbe bimodules, and indicate their applications to Wess–Zumino terms in two-dimensional field theories.

2000 Mathematics Subject Classifications: 22E67, 55R65, 81T40.

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Author information

Authors and Affiliations

  1. Organisationseinheit Mathematik, Universität Hamburg, Bundesstraße 55, D-20146, Hamburg, Germany

    Christoph Schweigert & Konrad Waldorf

Authors
  1. Christoph Schweigert
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  2. Konrad Waldorf
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Corresponding author

Correspondence to Christoph Schweigert .

Editor information

Editors and Affiliations

  1. Friedrich-Alexander-Universität Erlangen, Department of Mathematics, Bismarckstrasse 1 1/2, Erlangen, 91054, Germany

    Karl-Hermann Neeb

  2. University of Alberta, Department of Mathematical Sciences, Edmonton, T6G 2G1, Alberta, Canada

    Arturo Pianzola

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Schweigert, C., Waldorf, K. (2011). Gerbes and Lie Groups. In: Neeb, KH., Pianzola, A. (eds) Developments and Trends in Infinite-Dimensional Lie Theory. Progress in Mathematics, vol 288. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4741-4_10

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