Symmetry breaking operators for the restriction of representations of indefinite orthogonal groups O(p, q)

被引:2
|
作者
Kobayashi, Toshiyuki [1 ]
Leontiev, Alex [2 ]
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
关键词
Representation theory; reductive group; branching law; broken symmetry; conformal geometry; symmetry breaking operator; DISCRETE DECOMPOSABILITY; REDUCTIVE SUBGROUPS; A(Q)(LAMBDA); RESPECT; MODULES;
D O I
10.3792/pjaa.93.86
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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].
引用
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页码:86 / 91
页数:6
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