Tensor product decomposition for rank-one spin groups I : unitary principal series representations

Spyridon Afentoulidis-Almpanis, Gang Liu

We provide an explicit direct integral decomposition for the tensor product representation ${\pi }_1\hat{\otimes }{\pi }_2$ of the rank one spin group $\mathrm{Spin}(n,1)$ whenever ${\pi }_1$…