English

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

Representation Theory 2020-09-08 v1

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}.

Keywords

Cite

@article{arxiv.2009.02541,
  title  = {Corners and fundamental corners for the groups Spin(n,1)},
  author = {Domagoj Kovacevic and Hrvoje Kraljevic},
  journal= {arXiv preprint arXiv:2009.02541},
  year   = {2020}
}
R2 v1 2026-06-23T18:20:05.382Z