Pregled bibliografske jedinice broj: 1105339
Theta correspondence for p-adic dual pairs of type I
Theta correspondence for p-adic dual pairs of type I // Journal für die Reine und Angewandte Mathematik, 776 (2021), 63-117 doi:10.1515/crelle-2021-0006 (međunarodna recenzija, članak, znanstveni)
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Naslov
Theta correspondence for p-adic dual pairs of type I
Autori
Bakić, Petar ; Hanzer, Marcela
Izvornik
Journal für die Reine und Angewandte Mathematik (0075-4102) 776
(2021);
63-117
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
theta correspondence ; Weil representation ; metaplectic group
Sažetak
We describe explicitly the Howe correspondence for the symplectic-orthogonal and unitary dual pairs over a nonarchimedean local field of characteristic zero. More specif- ically, for every irreducible admissible representation of these groups, we find its first occurrence index in the theta correspondence and we describe, in terms of their Lang- lands parameters, the small theta lifts on all levels.
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:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
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
