Marked chain-order polytopes
Representation Theory
2016-07-12 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.1508.02232,
title = {Marked chain-order polytopes},
author = {Xin Fang and Ghislain Fourier},
journal= {arXiv preprint arXiv:1508.02232},
year = {2016}
}
Comments
18 pages, title changed, the relation to string polytopes is removed