Corners and fundamental corners for the groups Spin(n,1)

preprint2020arXivOpen access

Abstract

We study corners and fundamental corners of the irreducible representations of the groups G=Spin(n,1) that are not elementary, i.e. that are equivalent to subquotients of reducible nonunitary principal series representations. For even n we obtain results in a way analogous to the results in [10] for the groups SU(n,1). Especially, we again get a bijection between the nonelementary part G^0\hat{G}^0 of the unitary dual G^\hat{G} and the unitary dual K^.\hat{K}. In the case of odd n we get a bijection between G^0\hat{G}^0 and a tru subset of K^.\hat{K}.

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