Marked chain-order polytopes. (November 2016)

• Record Type: Journal Article
• Authors: Fang, Xin; Fourier, Ghislain
• Is Part Of: European journal of combinatorics. Volume 58(2016:Nov.)
• Page Start: 267
• Page End: 282
• Publication Date: 2016-11
• Subjects: Combinatorial analysis -- Periodicals; Analyse combinatoire -- Périodiques; Combinatorial analysis; Periodicals; Electronic journals; 511.6
• DOI: 10.1016/j.ejc.2016.06.007
• Languages: English
• ISSNs: 0195-6698

Abstract

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.