Generalized associahedra via brick polytopes

Generalized associahedra via brick polytopes

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...

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Bibliographic Details
Main Authors: Vincent Pilaud, Christian Stump
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2012-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
coxeter-catalan combinatorics
subword complexes
cluster complexes
generalized associahedra
coxeter- sortable elements
cambrian lattices
cambrian fans
20f55, 52b11, 06a07
[math.math-co] mathematics [math]/combinatorics [math.co]
Online Access:https://dmtcs.episciences.org/3021/pdf

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https://dmtcs.episciences.org/3021/pdf

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