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dc.contributor.authorHohlweg, Christophe-
dc.contributor.authorPilaud, Vincent-
dc.contributor.authorStella, Salvatore-
dc.identifier.citationAdvances in Mathematics, 2018, 328, pp. 713-749en
dc.description.abstractThis paper shows the polytopality of any finite type g-vector fan, acyclic or not. In fact, for any finite Dynkin type Γ, we construct a universal associahedron Assoun(Γ) with the property that any g-vector fan of type Γ is the normal fan of a suitable projection of Assoun(Γ).en
dc.description.sponsorshipCH was supported by NSERC Discovery grant Coxeter groups and related structures. SS was a Marie Curie – Cofund Fellow at INdAM and is now supported by the ISF grant 1144/16. VP was partially supported by the French ANR grant SC3A (15 CE40 0004 01).en
dc.publisherElsevier for Academic Pressen
dc.rightsCopyright © Elsevier for Academic Press 2018. This version of the paper is an open-access article distributed under the terms of the Creative Commons Attribution-Non Commercial-No Derivatives License (, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.en
dc.subjectCluster algebrasen
dc.subjectGeneralized associahedraen
dc.titlePolytopal realizations of finite type g-vector fansen
dc.typeJournal Articleen
dc.type.subtypeJournal Article-
pubs.organisational-group/Organisation/COLLEGE OF SCIENCE AND ENGINEERINGen
pubs.organisational-group/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematicsen
Appears in Collections:Published Articles, Dept. of Mathematics

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