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most citedd-Complete Posets Generalize Young Diagrams for the Jeu de Taquin Property

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math.CO2007

Distributive lattices defined for representations of rank two semisimple Lie algebras

L. Wyatt Alverson, Robert G. Donnelly, Scott J. Lewis +4

For a rank two root system and a pair of nonnegative integers, using only elementary combinatorics we construct two posets. The constructions are uniform across the root systems A1…