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

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