Marked chain-order polytopes

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 m...

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Bibliographic Details
Published in:European journal of combinatorics 2016-11, Vol.58, p.267-282
Main Authors: Fang, Xin, Fourier, Ghislain
Format: Article
Language:English
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Summary: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.
ISSN:0195-6698
1095-9971
DOI:10.1016/j.ejc.2016.06.007