Category Theory and Quantum Field Theory

  • Marc A. Rieffel
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 24)

Abstract

We describe the recent basic result of Doplicher and Roberts characterizing the category of representations of a compact group. We indicate their motivation, coming from quantum field theory, and then state some important related category-theoretic questions which have arisen recently in low-dimensional quantum field theory. These questions, which are quite open, have interesting connections with quantum groups and knot theory.

Keywords

Micromodel 

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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Marc A. Rieffel
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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