Naslov
Some results on reducibility of parabolic induction for classical groups

Autori
Lapid, Erez ; Tadić, Marko

Izvornik
American journal of mathematics (0002-9327) 142 (2020), 2; 505-546

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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