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October 2017 Symmetry breaking operators for the restriction of representations of indefinite orthogonal groups $O(p,q)$
Toshiyuki Kobayashi, Alex Leontiev
Proc. Japan Acad. Ser. A Math. Sci. 93(8): 86-91 (October 2017). DOI: 10.3792/pjaa.93.86

Abstract

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 [Mem. Amer. Math. Soc. 2015] in the real rank one case where $q=0$. Functional identities and residue formulæ 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].

Citation

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Toshiyuki Kobayashi. Alex Leontiev. "Symmetry breaking operators for the restriction of representations of indefinite orthogonal groups $O(p,q)$." Proc. Japan Acad. Ser. A Math. Sci. 93 (8) 86 - 91, October 2017. https://doi.org/10.3792/pjaa.93.86

Information

Published: October 2017
First available in Project Euclid: 3 October 2017

zbMATH: 1384.22006
MathSciNet: MR3709273
Digital Object Identifier: 10.3792/pjaa.93.86

Subjects:
Primary: 22E46
Secondary: 33C45, 53C35

Rights: Copyright © 2017 The Japan Academy

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Vol.93 • No. 8 • October 2017
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