Pregled bibliografske jedinice broj: 921646
Note on reducibility of parabolic induction for hermitian quaternionic groups over p-adic fields
Note on reducibility of parabolic induction for hermitian quaternionic groups over p-adic fields // Mathematical communications, 23 (2018), 2; 181-196 (domaća recenzija, članak, znanstveni)
CROSBI ID: 921646 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Note on reducibility of parabolic induction for
hermitian quaternionic groups over p-adic fields
Autori
Grbac, Neven ; Jurčević Peček, Nevena
Izvornik
Mathematical communications (1331-0623) 23
(2018), 2;
181-196
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
hermitian quaternionic groups ; parabolically induced representations ; reducibility ; Jacquet modules ; structural formula ; R-groups
Sažetak
In this paper we study the reducibility of certain class of parabolically induced representations of p-adic hermitian quaternionic groups. We use the Jacquet modules techniques and the theory of R-groups to extend the reducibility results of Tadić for split classical groups to the case of arbitrary hermitian quaternionic group.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
UNIRI-13.14.1.2.02
HRZZ-IP-2013-11-9364 - Automorfne forme, reprezentacije i primjene (Automorphic forms) (Muić, Goran, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
