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Coefficients of Clebsch-Gordan for the holomorphic discrete series

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Abstract

We prove a theorem for the tensor product of representations of the holomorphic discrete series analogous to the classical theorem of Clebsch-Gordan and give an asymptotic formula for corresponding ‘coefficients of Clebsch-Gordan.’ For small groups we compute the coefficients explicitly.

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Authors and Affiliations

  1. Department of Mathematics, University of Utah, 84112, Salt Lake City, Utah, USA

    E. Gutkin

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  1. E. Gutkin
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Partially supported by NSF Grant MCS 78-01826.

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Gutkin, E. Coefficients of Clebsch-Gordan for the holomorphic discrete series. Lett Math Phys 3, 185–192 (1979). https://doi.org/10.1007/BF00405291

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  • DOI: https://doi.org/10.1007/BF00405291

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