Vincent Pilaud ; Christian Stump
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Generalized associahedra via brick polytopes
dmtcs:3021 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2012,
DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
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https://doi.org/10.46298/dmtcs.3021
Generalized associahedra via brick polytopesArticle
Authors: Vincent Pilaud 1; Christian Stump 2
0000-0002-2070-9223##NULL
Vincent Pilaud;Christian Stump
1 Laboratoire d'informatique de l'École polytechnique [Palaiseau]
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.
Combinatorial methods, from enumerative topology to random discrete structures and compact data representations.; Funder: European Commission; Code: 208471
Bibliographic References
1 Document citing this article
Myrto Kallipoliti;Henri Mühle, 2013, On the Topology of the Cambrian Semilattices, The Electronic journal of combinatorics/The journal of combinatorics, 20, 2, 10.37236/2910, https://doi.org/10.37236/2910.