Naslov
On tempered and square integrable representations of classical p- adic groups

Autori
Tadić, Marko

Izvornik
Science China-Mathematics (1674-7283) 56 (2013), 11; 2273-2313

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

Ključne riječi
non-archimedean local fields ; classical groups ; square integrable representations ; tempered representations

Sažetak
This paper has two aims. The first is to give a description of irreducible tempered representations of classical p-adic groups which follows naturally the classification of irreducible square integrable representations modulo cuspidal data obtained by C. Moeglin and the author. The second aim of the paper is to give description of an invariant (partially defined function) of irreducible square integrable representation of a classical p-adic group (defined by C. Moeglin using embeddings) in terms of subquotients of Jacquet modules. As an application, we describe behavior of partially defined function in one construction of square integrable representations of a bigger group from such representations of a smaller group (which is related to deformation of Jordan blocks of representations).

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA