Ribbon tableaux, ribbon rigged configurations and Hall-Littlewood functions at roots of unity

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127441Hall-Littlewood functions indexed by rectangular partitions, specialized at primitive roots of unity, can be expressed as plethysms. We propose a combinatorial proof of this formula using A. Schilling's bijection between ribbon tableaux and ribbon rigged configurations.CombinatoricsQuantum AlgebraRibbon tableaux, ribbon rigged configurations and Hall-Littlewood functions at roots of unitytext