The diagonal p$p$‐permutation functor kRk$kR_k$

Abstract Let be an algebraically closed field of positive characteristic . We describe the full lattice of subfunctors of the diagonal ‐permutation functor obtained by ‐linear extension from the functor of linear representations over . This leads to the description of the “composition factors” of , which are parameterized by finite ‐groups (up to isomorphism), and of the evaluations of these particular simple diagonal ‐permutation functors over .