Glasnik matematički, Vol. 51 No. 1, 2016.
Original scientific paper
https://doi.org/10.3336/gm.51.1.08
On discrete series subrepresentations of the generalized principal series
Ivan Matić
orcid.org/0000-0001-9264-9293
; Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, 31 000 Osijek, Croatia
Abstract
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.
Keywords
Discrete series; classical p-adic groups; Jacquet modules
Hrčak ID:
160108
URI
Publication date:
15.6.2016.
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