Pregled bibliografske jedinice broj: 748578
On Jacquet modules of representations of segment type
On Jacquet modules of representations of segment type // Manuscripta mathematica, 147 (2015), 3; 437-476 doi:10.1007/s00229-015-0727-9 (međunarodna recenzija, članak, znanstveni)
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Naslov
On Jacquet modules of representations of segment
type
Autori
Matić, Ivan ; Tadić, Marko
Izvornik
Manuscripta mathematica (0025-2611) 147
(2015), 3;
437-476
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
p-adic division algebras ; cuspidal representations ; square integrable representations ; tempered representations ; irreducibility
Sažetak
A new simple (local) proof of two principal results about irreducible tempered representations of general linear groups over a non-archimedean local division algebra is given in this paper. The first is a proof of the parameterization of the irreducible square integrable representations of these groups by segments of cuspidal representations. The second is a proof of the irreducibility of the tempered parabolic induction. The proofs are based on Jacquet modules (and the Geometric Lemma, incorporated in the structure of a Hopf algebra). Only some very basic general facts of the representation theory of reductive p-adic groups are used in the proofs.
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:
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