Unitary dual of $p$-adic split ${\mathrm{SO}}_{2n+1}$ and ${\mathrm{Sp}}_{2n}$: The good parity case (and slightly beyond)

Hiraku Atobe, Alberto Minguez

Let $F$ be a $p$-adic field, and let $G$ be either the split special orthogonal group ${\mathrm{SO}}_{2n+1}(F)$ or the symplectic group ${\mathrm{Sp}}_{2n}(F)$, with $n\ge 0$. We pro…