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Induced representations and tensor operators for quantum groups

  • II. Quantum Groups, Symmetries Of Dynamical Systems And Conformal Field Theory
  • Conference paper
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Quantum Groups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1510))

Abstract

The analog of the Borel-Weil construction of irreducible representations as holomorphic sections of holomorphic line bundles is constructed for quantum groups and applied to U q(2) and U q(3). The concept of a tensor operator for a quantum group and the corresponding q-analog to the generalized Wigner-Eckart theorem are developed and discussed with examples.

Supported, in part, by the National Science Foundation, PHY-9008007.

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Authors and Affiliations

  1. Department of Physics, Duke University, 27706, Durham, NC, USA

    L. C. Biedenharn & M. A. Lohe

Authors
  1. L. C. Biedenharn
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  2. M. A. Lohe
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Editor information

Petr P. Kulish

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© 1992 Springer-Verlag

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Biedenharn, L.C., Lohe, M.A. (1992). Induced representations and tensor operators for quantum groups. In: Kulish, P.P. (eds) Quantum Groups. Lecture Notes in Mathematics, vol 1510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101190

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  • DOI: https://doi.org/10.1007/BFb0101190

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55305-2

  • Online ISBN: 978-3-540-47020-5

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