Torus quotients of homogeneous spaces of the general linear group and the standard representation of certain symmetric groups

S. S. Kannan, Pranab Sardar

We give a stratification of the GIT quotient of the Grassmannian $G_{2,n}$ modulo the normaliser of a maximal torus of $S{L}_n(k)$ with respect to the ample generator of the Picard…