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Induced representations and tensor operators for quantum groups

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

Part of the Lecture Notes in Mathematics book series (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.

Keywords

  • Quantum Group
  • Holomorphic Section
  • Tensor Operator
  • Holomorphic Line Bundle
  • Compact Quantum Group

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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

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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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