## 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.

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© Toshiyuki Kobayashi