2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126535Let $σ$ be a simple involution of an algebraic semisimple group $G$ and let $H$ be the subgroup of $G$ of points fixed by $σ$. If the restricted root system is of type $A$, $C$ or $BC$ and $G$ is simply connected or if the restricted root system is of type $B$ and $G$ is adjoint, then we describe a standard monomial theory and the equations for the coordinate ring $k[G/H]$ using the standard monomial theory and the Plücker relations of an appropriate (maybe infinite dimensional) Grassmann variety.48 pagesRepresentation TheoryAlgebraic Geometry14M17 (Primary) 14M15, 17B10, 13F50 (Secondary)text