Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup

被引:45
作者
Branson, T
Olafsson, G
Orsted, B
机构
[1] LOUISIANA STATE UNIV,DEPT MATH,BATON ROUGE,LA 70803
[2] ROSKILDE UNIV CTR,IMFUFA,DK-4000 ROSKILDE,DENMARK
[3] ODENSE UNIV,DEPT MATH,DK-5230 ODENSE M,DENMARK
基金
美国国家科学基金会;
关键词
D O I
10.1006/jfan.1996.0008
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present a new method of calculating intertwining operators between principal series representations of semisimple Lie groups G. Working in the compact realization we find the eigenvalues of the operators on the K-types, and give several examples. Among the advantages of our method is its applicability to bundle-valued cases. (C) 1996 Academic Press, Inc.
引用
收藏
页码:163 / 205
页数:43
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