Naslov
Theta lifts of tempered representations for dual pairs (Sp(2n), O(V))

Autori
Muić, Goran

Izvornik
Canadian journal of mathematics (0008-414X) 60 (2008), 6; 1306-1335

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

Ključne riječi
non-archimedean local fields; dual pairs; theta lifts; tempered representations; discrete series representations; Jacquet modules

Sažetak
The paper is the continuation of several previous papers of the author. It deals with the explicit determination of the structure of theta lifts for dual pairs (Sp(2n), O(V)) over a non-archimedean field F of characteristic different than 2, where n is the split rank of Sp(2n) and the dimension of the space V (over F ) is even. In the paper is determined the structure of theta lifts of tempered representations in terms of theta lifts of representations in discrete series. The approach is based on the Jacquet module techniques.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA