framed bundles; affine bundles; quot scheme connected, affine algebraic group; Borel subgroup; Weyl's character formula; induced modules; global sections of line bundles on the quotient variety; good filtration; rational G-module; group cohomology; derived functors of induction; parabolic subgroups; Kempf's vanishing theorem; exceptional groups; Dynkin diagram; dominant weight; reductive group 