Pregled bibliografske jedinice broj: 1245857
Discrete series and the essentially Speh representations
Discrete series and the essentially Speh representations // Journal of algebra, 611 (2022), 65-81 doi:10.1016/j.jalgebra.2022.07.040 (međunarodna recenzija, članak, znanstveni)
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Naslov
Discrete series and the essentially Speh
representations
Autori
Bošnjak, Barbara ; Matić, Ivan
Izvornik
Journal of algebra (0021-8693) 611
(2022);
65-81
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
essentially Speh representations, discrete series, classical p-adic groups
Sažetak
Let $\pi$ denote an essentially Speh representation of the general linear group over a non-archimedean local field or its separable quadratic extension, and let $\sigma_c$ denote an irreducible cuspidal representation of either symplectic, special odd-orthogonal, or unitary group. We determine when the induced representation $\pi \rtimes \sigma_c$ contains a discrete series subquotient. We also identify all discrete series subquotients.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Biotehnologija
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-3628 - Unitarne reprezentacije, automorfne i modularne forme (UNAM) (Hanzer, Marcela, HRZZ - 2018-01) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts