T. Kobayashi and B. Speh. Intertwining operators and the restriction of representations of rank one orthogonal groups. C. R. Acad. Sci. Paris, Ser. I, Vol. 352, pp. 89-94, 2014. DOI: 10.1016/j.crma.2013.11.018..

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.

DOI | preprint version(pdf) ]

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