## Y. Benoist, Y. Inoue, and T. Kobayashi. Temperedness criterion of the tensor product of parabolic induction for $GL_n$. preprint. 14 pages. arXiv: 2108.12125.

We give a necessary and sufficient condition for a pair of parabolic subgroups $P$ and $Q$ of $G=GL_n(\mathbb{R})$ such that the tensor product of any two unitarily induced representations from $P$ and $Q$ are tempered.