We characterize directs sums of twists of symmetric powers of the universal quotient bundle over the Grassmannian of lines. We use a method that could be used for analogue results on any arbitrary variety, and that should ...

Given a vector space V over a field K whose characteris tic is coprime with d!, let us decompose the vector spa of multilinear forms V ∗ ⊗ (d) ... ⊗ V ∗ = λ Wλ(X, K) ac cording to the different partitions λ of d, i.e. ...