Article ID Journal Published Year Pages File Type
4653229 European Journal of Combinatorics 2016 16 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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