论文标题
各组旋转的角落和基本角(n,1)
Corners and fundamental corners for the groups Spin(n,1)
论文作者
论文摘要
我们研究了不是基本的g =旋转(n,1)的不可约形表示的角落和基本角,即相当于可简化的无配主序列表示的亚次数。对于n,我们以类似于SU的结果(n,1)的结果的方式获得了结果。尤其是,我们再次在非元素部分$ \ hat {g}^0 $之间进行两次续订,而单一的双$ \ hat {g} $和统一的dual dual $ \ hat {k}。$在奇数n的情况下,我们得到了$ \ hat {g}^0 $和$ \ hat $ \ hat的tru {g}^0 $之间的bi fivation n。
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 $\hat{G}^0$ of the unitary dual $\hat{G}$ and the unitary dual $\hat{K}.$ In the case of odd n we get a bijection between $\hat{G}^0$ and a tru subset of $\hat{K}.$