Nonelementary irreducible representations of Spin(n, 1)

Abstract

We study corners and fundamental corners of the irreducible subquotients of reducible elementary representations of the groups G = Spin(n, 1). For even n we obtain results in a way analogous to the results in [8] for the groups SU(n, 1). Especially, we again get a bijection between the nonelementary part Gˆ0 of the unitary dual Gˆ and the unitary dual K. ˆ In the case of odd n we get a bijection between Gˆ0 and a true subset of K.