Composition series of the induced representations of SO(5) using intertwining operators

Abstract

Abstract. Let F be a p-adic field of characteristic zero. We determine the composition series of the induced representations of SO(5, F ).

Unitary representations of p-adic U(5)

“…A similar example for the composition series for induced representations of SO(5) over a p-adic field can be found in [12] and examples for unitary duals for groups of low rank in [13] for SO (5) and in [15] for the simply connected split simple group of type G 2 .…”