Let $G$ be a reductive group defined over a field $F$. Let $\mathbf{A}$ denote the ring of adeles of $F$. My question is: > Assuming the automorphic quotient $[G]=G(F) \backslash G(\mathbf{A})$ is compact, can we say that all the (non-character) automorphic representations of $G$ are tempered? generic? I do not precisely understand the relations between the notions of tempered and generic representations beyond the very specific $\mathrm{GL}(n)$ case, so that any reference about these matters is also welcome.