Introduces dual affine Robinson-Schensted correspondence giving bijection between extended affine symmetric group and compatible tuples of tabloids, partition, and integer, generalizing Fomin and Viennot constructions while parametrizing affine KL cells.
Growth diagrams and edge local rules,
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Dual Affine Robinson-Schensted Correspondence
Introduces dual affine Robinson-Schensted correspondence giving bijection between extended affine symmetric group and compatible tuples of tabloids, partition, and integer, generalizing Fomin and Viennot constructions while parametrizing affine KL cells.