Contribution of symmetric power transfers to the cuspidal cohomology of $\mathrm{G}{\mathrm{L}}_{\mathrm{n}}$

Tathagata Mandal, Sudipa Mondal

Let $\pi$ be a cuspidal automorphic representation of ${\mathrm{GL}}_2({\mathbb{A}}_{\mathbb{Q}})$. Newton and Thorne have proved that for every $n\ge 1$, the symmetric power lifting $…