engleski

On discrete series subrepresentations of the generalized principal series

We study a family of the generalized principal series and obtain necessary and sucient 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.

discrete series ; classical p-adic groups ; Jacquet modules

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