On subgroup adapted bases for representations of the symmetric group

摘要: The split basis of an irreducible representation the symmetric group, Sn + m, is which adapted to direct product subgroups form × Sm. In this paper, we have calculated group subduction coefficients relating standard Young–Yamanouchi for by means a novel version Schur–Weyl duality. We also directly obtained matrix representations in using these techniques. advantages approach are that obtain analytical expressions and resolve issues multiplicity Sm from m representations. Our method applicable labelled Young diagrams with large row length differences. provide evidence systematic expansion inverse difference tools compute leading contribution, exact when differences infinite.