Pregled bibliografske jedinice broj: 1076261
Reducibility of representations induced from the Zelevinsky segment and discrete series
Reducibility of representations induced from the Zelevinsky segment and discrete series // Manuscripta mathematica, 164 (2021), 3-4; 349-374 doi:10.1007/s00229-020-01187-1 (međunarodna recenzija, članak, znanstveni)
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Naslov
Reducibility of representations induced from the Zelevinsky segment and discrete series
Autori
Matić, Ivan
Izvornik
Manuscripta mathematica (0025-2611) 164
(2021), 3-4;
349-374
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
classical p-adic groups ; Zelevinsky segment ; discrete series
Sažetak
Let Gn denote either the group SO(2n+1, F) or Sp(2n, F) over a non-archimedean local field. We determine the reducibility criteria for a parabolically induced representation of the form ⟨Δ⟩⋊σ, where ⟨Δ⟩ stands for a Zelevinsky segment representation of the general linear group and σ stands for a discrete series representation of Gn, in terms of the Mœglin-Tadić classification.
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
