Temperedness criterion of the tensor product of parabolic induction for $G{L}_n$

Yves Benoist, Yui Inoue, Toshiyuki Kobayashi

We give a necessary and sufficient condition for a pair of parabolic subgroups $P$ and $Q$ of $G=G{L}_n(\mathbb{R})$ such that the tensor product of any two unitarily induced represe…