Degree Name
Master of Science
Graduate Program
Mathematics
Advisor
Dubravka Ban
Abstract
The classification for irreducible square integrable representations of symplectic groups, as described in a joint paper by Moeglin and Tadi´c, gives a parameterization of irreducible tempered representations of these groups. The first parameter is given in terms of Jordan blocks which satisfy certain criteria. These are called admissible Jordan blocks. In this paper we will look at simple examples of the admissible Jordan blocks of irreducible tempered representations induced from irredible square integrable representations in the case of the symplectic group with split-rank 2. ii