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https://doi.org/10.3336/gm.51.1.08

On discrete series subrepresentations of the generalized principal series

Ivan Matić   ORCID icon orcid.org/0000-0001-9264-9293 ; Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, 31 000 Osijek, Croatia

Puni tekst: engleski, pdf (244 KB) str. 125-152 preuzimanja: 188* citiraj
APA 6th Edition
Matić, I. (2016). On discrete series subrepresentations of the generalized principal series. Glasnik matematički, 51 (1), 125-152. https://doi.org/10.3336/gm.51.1.08
MLA 8th Edition
Matić, Ivan. "On discrete series subrepresentations of the generalized principal series." Glasnik matematički, vol. 51, br. 1, 2016, str. 125-152. https://doi.org/10.3336/gm.51.1.08. Citirano 26.06.2019.
Chicago 17th Edition
Matić, Ivan. "On discrete series subrepresentations of the generalized principal series." Glasnik matematički 51, br. 1 (2016): 125-152. https://doi.org/10.3336/gm.51.1.08
Harvard
Matić, I. (2016). 'On discrete series subrepresentations of the generalized principal series', Glasnik matematički, 51(1), str. 125-152. doi: https://doi.org/10.3336/gm.51.1.08
Vancouver
Matić I. On discrete series subrepresentations of the generalized principal series. Glasnik matematički [Internet]. 2016 [pristupljeno 26.06.2019.];51(1):125-152. doi: https://doi.org/10.3336/gm.51.1.08
IEEE
I. Matić, "On discrete series subrepresentations of the generalized principal series", Glasnik matematički, vol.51, br. 1, str. 125-152, 2016. [Online]. doi: https://doi.org/10.3336/gm.51.1.08

Sažetak
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.

Ključne riječi
Discrete series; classical p-adic groups; Jacquet modules

Hrčak ID: 160108

URI
https://hrcak.srce.hr/160108

Posjeta: 250 *