Pregled bibliografske jedinice broj: 814297
Composition factors of a class of induced representations of classical p-adic groups
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)
CROSBI ID: 814297 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
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
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
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
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-9364 - Automorfne forme, reprezentacije i primjene (Automorphic forms) (Muić, Goran, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Profili:
Ivan Matić
(autor)
Citiraj ovu publikaciju:
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
