T. Kobayashi,
T. Kobayashi. Some examples of the branching rule of unitary representations associated to isomorphisms of homogeneous spaces. unpublished notes, 1988.

(see also Section 6 in Invent. Math. 117 (1994), 181-205 and Section 6 in Contemp. Math., vol. 484, 2009, pp. 73-87

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