2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69908We consider a nontempered $A$-parameter $ψ$ of $SO(2n+1, F)$ of a certain type and the base point representation $π$ in the $A$-packet of $ψ$. Let $\hatπ$ be the Aubert involution of $π$. We compute explicitly the Langlands data of $\hatπ$ and the $A$-parameter $\hatψ$ of $\hatπ$. We investigate whether $ψ$ and $\hatψ$ are symmetric. Although symmetry holds for large classes of parameters, it does not hold in general.27 pagesRepresentation TheoryNumber Theory11F70; 22E50text