Naslov
On the structure of theta lifts of discrete series for dual pairs (Sp(n), O(V))

Autori
Muić, Goran

Izvornik
Israel Journal of Mathematics (0021-2172) 164 (2008), 1; 87-124

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

Ključne riječi
non-archimedean fields; symplectic groups; orhogonal groups; discrete series; theta lifts

Sažetak
The purpose of the present paper is to prove some fundamental results on the structure of theta lifts of discrete series. The author shows that the lifts of discrete series behave very much like the lifts of supercuspidal representations. Some of that is already well-known by the previous work of the author, and it is just a corollary of more general and more precise results obtained in this paper. The proof in earlier paper rely on the classification of discrete series for classical groups due to Moeglin and Tadic. The classification of Moeglin and Tadic, is based on an assumption that is not verified yet to its full extent. Therefore, the author does not use their classification, but some very simple properties of discrete series that are verified in the present paper.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA