Fang, X. and Fourier, G. (2016) Marked chain-order polytopes. European Journal of Combinatorics, 58, pp. 267-282. (doi: 10.1016/j.ejc.2016.06.007)
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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.
| Item Type: | Articles |
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| Additional Information: | The work of X.F. is supported by the Alexander von Humboldt Foundation. The work of G.F. has been funded by the DFG priority program SPP138 ‘‘Representation Theory’’. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Fourier, Dr Ghislain |
| Authors: | Fang, X., and Fourier, G. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | European Journal of Combinatorics |
| Publisher: | Elsevier |
| ISSN: | 0195-6698 |
| ISSN (Online): | 1095-9971 |
| Published Online: | 09 July 2016 |
| Copyright Holders: | Copyright © 2016 Elsevier Ltd. |
| First Published: | First published in European Journal of Combinatorics 58:267-282 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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