The Frobenius morphism in invariant theory II

Let R be the homogeneous coordinate ring of Grassmannian G=Gr(2,n) defined over an algebraically closed field k characteristic p≥max⁡{n−2,3}. In this paper we give a description decomposition R, considered as graded Rpr-module, for r≥2. This is companion to [16], where case r=1 was treated, and taken together, our results imply that has finite F-representation type (FFRT). Though it expected all rings invariants reductive groups have FFRT, ours first non-trivial example such group which not linearly reductive. As corollary, show differential operators Dk(R) simple, G global (GFFRT) provides noncommutative resolution Rpr.