T. Kobayashi and A. Leontiev. Symmetry breaking operators for the restriction of representations of indefinite orthogonal groups O(p,q), Proc. Japan Acad. Ser. A Math. Sci. 93 (2017), no. 8, 86-91, DOI: 10.3792/pjaa.93.86.

For the pair (G, G') =(O(p+1, q+1), O(p,q+1)), we construct and give a complete classification of intertwining operators (symmetry breaking operators) between most degenerate spherical principal series representations of G and those of the subgroup G', extending the work initiated by Kobayashi and Speh [Memoirs of Amer. Math. Soc. 2015] in the real rank one case where q=0. Functional identities and residue formulae of the regular symmetry breaking operators are also provided explicitly. The results contribute to Program C of branching problems suggested by the first author [Progr. Math. 2015].

[ DOI ]

© Toshiyuki Kobayashi