Pregled bibliografske jedinice broj: 1085189
Representations induced from the Zelevinsky segment and discrete series in the half-integral case
Representations induced from the Zelevinsky segment and discrete series in the half-integral case // Forum mathematicum, 33 (2021), 1; 193-212 doi:10.1515/forum-2020-0054 (međunarodna recenzija, članak, znanstveni)
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Naslov
Representations induced from the Zelevinsky segment and discrete series in the half-integral case
Autori
Matić, Ivan
Izvornik
Forum mathematicum (0933-7741) 33
(2021), 1;
193-212
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Zelevinsky segment ; discrete series ; composition factors
Sažetak
Let Gn denote either the group SO(2n+1, F) or Sp(2n, F) over a non-archimedean local field of characteristic different than two. We study parabolically induced representations of the form ⟨Δ⟩⋊σ, where ⟨Δ⟩ denotes the Zelevinsky segment representation of the general linear group attached to the segment Δ, and σ denotes a discrete series representation of Gn. We determine the composition series of ⟨Δ⟩⋊σ in the case when Δ=[νaρ, νbρ] where a is half-integral.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-3628 - Unitarne reprezentacije, automorfne i modularne forme (UNAM) (Hanzer, Marcela, HRZZ - 2018-01) ( 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
