Generalized associahedra via brick polytopes

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dc.identifier.uri http://dx.doi.org/10.15488/1671
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/1696
dc.contributor.author Pilaud, Vincent
dc.contributor.author Stump, Christian
dc.date.accessioned 2017-07-04T10:06:04Z
dc.date.available 2017-07-04T10:06:04Z
dc.date.issued 2012
dc.identifier.citation Pilaud, V.; Stump, C.: Generalized associahedra via brick polytopes. In: Discrete Mathematics and Theoretical Computer Science (2012), S. 73-84.
dc.description.abstract We generalize the brick polytope of V. Pilaud and F. Santos to spherical subword complexes for finite Coxeter groups. This construction provides polytopal realizations for a certain class of subword complexes containing all cluster complexes of finite types. For the latter, the brick polytopes turn out to coincide with the known realizations of generalized associahedra, thus opening new perspectives on these constructions. This new approach yields in particular the vertex description and a relevant Minkowski sum decomposition of generalized associahedra. eng
dc.language.iso eng
dc.publisher Nancy : French Association for Discrete Mathematics & Theoretical Computer Science
dc.relation.ispartofseries Discrete Mathematics and Theoretical Computer Science (2012)
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject Cambrian fans eng
dc.subject Cambrian lattices eng
dc.subject Cluster complexes eng
dc.subject Coxeter-Catalan combinatorics eng
dc.subject Generalized associahedra eng
dc.subject Subword complexes eng
dc.subject Cambrians eng
dc.subject Cluster complexes eng
dc.subject Combinatorics eng
dc.subject Generalized associahedra eng
dc.subject Sub words eng
dc.subject Brick eng
dc.subject Topology eng
dc.subject Combinatorial mathematics eng
dc.subject.ddc 510 | Mathematik ger
dc.title Generalized associahedra via brick polytopes
dc.type article
dc.type Text
dc.relation.issn 1462-7264
dc.bibliographicCitation.firstPage 73
dc.bibliographicCitation.lastPage 84
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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