Pseudorepresentation

More generally, we prove that the structures of the Frobenius-semisimplifications of the Weyl modules attached to a collection of pure representations are rigid if these pure representations lift to Weil-Deligne representations over domains containing #92;mathcal#123;O#125; and the traces of these lifts are parametrized by a pseudorepresentation over #92;mathcal#123;O#125;..