Naslov
On Jacquet modules of discrete series: the first inductive step

Autori
Matić, Ivan

Izvornik
Journal of lie theory (0949-5932) 26 (2016), 1; 135-168

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

Ključne riječi
discrete series ; classical p-adic groups ; Jacquet modules

Sažetak
The purpose of this paper is to determine Jacquet modules of discrete series which are obtained by adding a pair of consecutive elements to the Jordan block of an irreducible strongly positive representation such that the ϵ-function attains the same value on both elements. Such representations present the first inductive step in the realization of discrete series starting from the strongly positive ones. We are interested in determining Jacquet modules with respect to the maximal standard parabolic subgroups, with an irreducible essentially square-integrable representation on the general linear part.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA