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

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

2007-01-08

arxiv.org/abs/math/0701221v2

Mathematics

Combinatorics

Scientific paper

Hall-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.

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