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Pregled bibliografske jedinice broj: 921646

Note on reducibility of parabolic induction for hermitian quaternionic groups over p-adic fields


Grbac, Neven; Jurčević Peček, Nevena
Note on reducibility of parabolic induction for hermitian quaternionic groups over p-adic fields // Mathematical communications (2018) (znanstveni, prihvaćen)


Naslov
Note on reducibility of parabolic induction for hermitian quaternionic groups over p-adic fields

Autori
Grbac, Neven ; Jurčević Peček, Nevena

Vrsta, podvrsta
Radovi u časopisima, znanstveni

Izvornik
Mathematical communications (2018)

Status rada
Prihvaćen

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


Projekt / tema
HRZZ-IP-2013-11-9364 - Automorfne forme, reprezentacije i primjene (Goran Muić, )
UNIRI-13.14.1.2.02

Ustanove
Sveučilište u Rijeci - Odjel za matematiku

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus