Symmetry breaking operators for the restriction of representations of indefinite orthogonal groups O(p, q)
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作者:
Kobayashi, Toshiyuki
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Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, JapanUniv Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
Kobayashi, Toshiyuki
[1
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Leontiev, Alex
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Univ Tokyo, Kavli Inst Phys & Math Universe, 5-1-5 Kashiwanoha, Kashiwa, Chiba 2778583, JapanUniv Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
Leontiev, Alex
[2
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机构:
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
[2] Univ Tokyo, Kavli Inst Phys & Math Universe, 5-1-5 Kashiwanoha, Kashiwa, Chiba 2778583, Japan
For the pair (G, G '') = (O(p + 1, q + 1), 0(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 formula 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].
机构:
Russian Acad Sci, VA Steklov Math Inst, St Petersburg Dept, Moscow 117901, RussiaRussian Acad Sci, VA Steklov Math Inst, St Petersburg Dept, Moscow 117901, Russia
机构:
Department of Physics, Princeton University, Princeton, 08544, NJ
Department of Applied Physics, Stanford University, Stanford, 94305, CADepartment of Physics, Princeton University, Princeton, 08544, NJ
Liang T.
Hsieh T.H.
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Department of Physics, Massachusetts Institute of Technology, Cambridge, 02139, MA
Kavli Institute for Theoretical Physics, University of California, Santa Barbara, 93106, CADepartment of Physics, Princeton University, Princeton, 08544, NJ
Hsieh T.H.
Ishikawa J.J.
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Institute for Solid State Physics, University of Tokyo, KashiwaDepartment of Physics, Princeton University, Princeton, 08544, NJ
Ishikawa J.J.
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Nakatsuji S.
Fu L.
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Department of Physics, Massachusetts Institute of Technology, Cambridge, 02139, MADepartment of Physics, Princeton University, Princeton, 08544, NJ
Fu L.
Ong N.P.
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Department of Physics, Princeton University, Princeton, 08544, NJDepartment of Physics, Princeton University, Princeton, 08544, NJ