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Pregled bibliografske jedinice broj: 980495

Some results on reducibility of parabolic induction for classical groups


Tadić, Marko; Lapid, Erez
Some results on reducibility of parabolic induction for classical groups // American journal of mathematics (2019) (znanstveni, prihvaćen)


Naslov
Some results on reducibility of parabolic induction for classical groups

Autori
Tadić, Marko ; Lapid, Erez

Vrsta, podvrsta
Radovi u časopisima, znanstveni

Izvornik
American journal of mathematics (2019)

Status rada
Prihvaćen

Ključne riječi
Classical groups, p-adic fields, parabolic induction, irreducibility

Sažetak
Given a (complex, smooth) irreducible representation π of the general linear group over a non-archimedean local field and an irreducible supercuspidal representation σ of a classical group, it is shown that the (normalized) parabolic induction of tensor product of π and σ is reducible if there exists ρ in the supercuspidal support of π such that parabolic induction of tensor product of ρ and σ is reducible. In special cases, an irreducibility criteria for parabolic induction of tensor product of π and σ when the above condition is not satisfied, is given.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2018-01-3628 - Unitarne reprezentacije, automorfne i modularne forme (Marcela Hanzer, )

Ustanove
Prehrambeno-biotehnološki fakultet, Zagreb

Autor s matičnim brojem:
Marko Tadić, (48933)

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