Involutions in $S_n$ and associated coadjoint orbits

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146294In the paper we study the coadjoint orbits of the group $\mathrm{UT}(n,K)$ associated with involutions. We obtain a formula for dimension of the orbit. We construct a polarization for the canonical element of orbit. We find a system of generators in the defining ideal of orbit.20 pagesRepresentation TheorySymplectic Geometry22E27Involutions in $S_n$ and associated coadjoint orbitstext