Pilaud, V.; Stump, C.: Generalized associahedra via brick polytopes. In: Discrete Mathematics and Theoretical Computer Science (2012), S. 73-84.
Zusammenfassung: |
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.
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Lizenzbestimmungen: |
CC BY 4.0 Unported - https://creativecommons.org/licenses/by/4.0/
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Publikationstyp: |
Article |
Publikationsstatus: |
publishedVersion |
Erstveröffentlichung: |
2012 |
Schlagwörter (englisch): |
Cambrian fans, Cambrian lattices, Cluster complexes, Coxeter-Catalan combinatorics, Generalized associahedra, Subword complexes, Cambrians, Cluster complexes, Combinatorics, Generalized associahedra, Sub words, Brick, Topology, Combinatorial mathematics
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Fachliche Zuordnung (DDC): |
510 | Mathematik
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