A COMBINATORIAL TRANSLATION PRINCIPLE AND DIAGRAM COMBINATORICS FOR THE GENERAL LINEAR GROUP

Abstract Let k be an algebraically closed field of characteristic p > 0. We compute the Weyl filtration multiplicities in indecomposable tilting modules and decomposition numbers for general linear group over terms cap diagrams under assumption that is bigger than greatest hook length partitions involved. Then we introduce study rational Schur functor from a category GL n -modules to walled Brauer algebra. As corollary, obtain algebra when This sequel earlier paper on symplectic