Generalized associahedra via brick polytopes

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Pilaud, V.; Stump, C.: Generalized associahedra via brick polytopes. In: Discrete Mathematics and Theoretical Computer Science (2012), S. 73-84.

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Sum total of downloads: 79




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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.
License of this version: CC BY 4.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2012
Appears in Collections:Fakultät für Elektrotechnik und Informatik

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pos. country downloads
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1 image of flag of Germany Germany 68 86.08%
2 image of flag of United States United States 2 2.53%
3 image of flag of China China 2 2.53%
4 image of flag of Thailand Thailand 1 1.27%
5 image of flag of Sweden Sweden 1 1.27%
6 image of flag of Romania Romania 1 1.27%
7 image of flag of Latvia Latvia 1 1.27%
8 image of flag of India India 1 1.27%
9 image of flag of Ghana Ghana 1 1.27%
10 image of flag of Estonia Estonia 1 1.27%

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