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## Composition factors of a class of induced representations of classical p-adic groups

Matić, Ivan
Composition factors of a class of induced representations of classical p-adic groups // Nagoya mathematical journal, 227 (2017), 16-48 doi:10.1017/nmj.2016.46 (međunarodna recenzija, članak, znanstveni)

Naslov
Composition factors of a class of induced representations of classical p-adic groups

Autori
Matić, Ivan

Izvornik
Nagoya mathematical journal (0027-7630) 227 (2017); 16-48

Ključne riječi
Composition series ; strongly positive representations ; classical p-adic groups ; Jacquet modules

Sažetak
We study induced representations of the form $\delta_1 \times \delta_2 \rtimes \sigma$, where $\delta_1, \delta_2$ are irreducible essentially square-integrable representations of general linear group and $\sigma$ is a strongly positive discrete series of classical $p$-adic group, which naturally appear in the non-unitary dual. Employing certain conditions on $\delta_1$ and $\delta_2$, we determine complete composition series of such induced representation.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Projekt / tema
HRZZ-IP-2013-11-9364 - Automorfne forme, reprezentacije i primjene (Goran Muić, )

Ustanove
Sveučilište u Osijeku, Odjel za matematiku

Autor s matičnim brojem:
Ivan Matić, (278646)

#### Časopis indeksira:

• Current Contents Connect (CCC)
• Web of Science Core Collection (WoSCC)
• Science Citation Index Expanded (SCI-EXP)
• SCI-EXP, SSCI i/ili A&HCI
• Scopus