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Marked chain-order polytopes

Published 10 Aug 2015 in math.RT and math.CO | (1508.02232v2)

Abstract: We introduce in this paper the marked chain-order polytopes associated to a marked poset, generalizing the marked chain polytopes and marked order polytopes by putting them as extremal cases in an Ehrhart equivalent family. Some combinatorial properties of these polytopes are studied. This work is motivated by the framework of PBW degenerations in representation theory of Lie algebras.

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