The embeddings of discrete series into principal series for an exceptional real simple Lie group of type $G_2$
نویسندگان
چکیده
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15 صفحه اولOn Discrete Series Subrepresentations of the Generalized Principal Series
We study a family of the generalized principal series and obtain necessary and sufficient conditions under which the induced representation of studied form contains a discrete series subquotient. Furthermore, we show that if the generalized principal series which belongs to the studied family has a discrete series subquotient, then it has a discrete series subrepresentation.
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1996
ISSN: 2156-2261
DOI: 10.1215/kjm/1250518510