2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133020In the paper, it is proved that any $C^{1}$-function on GL(n) which is locally $P$-invariant (here $P$ is the affine (sub)group of GL(n)) is locally $G$-invairant. There is also a statement for distributions (a very weak form of Baruch's results).Representation Theorytext