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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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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