Intertwining operators and the restriction of representations of rank-one orthogonal groups |
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Authors: | Toshiyuki Kobayashi Birgit Speh |
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Institution: | 1. Kavli IPMU (WPI), Graduate School of Mathematical Sciences, the University of Tokyo, 3-8-1 Komaba, Tokyo, 153-8914, Japan;2. Department of Mathematics, Cornell University, Ithaca, 14853-4201, NY, USA |
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Abstract: | We give a complete classification of intertwining operators (breaking symmetry operators ) between spherical principal series representations of O(n+1,1) and O(n,1) together with explicit formulae of the distribution kernels. Further we use this to determine the breaking symmetry operators between their irreducible composition factors. |
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