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Tannaka-Krein duality for compact matrix pseudogroups. TwistedSU(N) groups

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The notion of concrete monoidalW *-category is introduced and investigated. A generalization of the Tannaka-Krein duality theorem is proved. It leads to new examples of compact matrix pseudogroups. Among them we have twistedSU(N) groups denoted byS μ U(N). It is shown that the representation theory forS μ U(N) is similar to that ofSU(N): irreducible representations are labeled by Young diagrams and formulae for dimensions and multiplicity are the same as in the classical case.

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Authors and Affiliations

  1. Instituut voor Theoretische Fysica, Universität Leuven, B-3030, Leuven, Belgium

    S. L. Woronowicz

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  1. S. L. Woronowicz
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On leave from Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, Hoza 7400-682, Warsaw, Poland.

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Woronowicz, S.L. Tannaka-Krein duality for compact matrix pseudogroups. TwistedSU(N) groups. Invent Math 93, 35–76 (1988). https://doi.org/10.1007/BF01393687

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  • DOI: https://doi.org/10.1007/BF01393687

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