The facial weak order in finite Coxeter groups

We investigate a poset structure that extends the weak order on a finite Coxeter group W to the set of all faces of the permutahedron of W. We call this order the facial weak order. We first provide two alternative characterizations of this poset: a first one, geometric, that generalizes the notion...

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Hlavní autoři: Aram Dermenjian, Christophe Hohlweg, Vincent Pilaud
Médium: Článek
Jazyk:English
Vydáno: Discrete Mathematics & Theoretical Computer Science 2020-04-01
Edice:Discrete Mathematics & Theoretical Computer Science
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On-line přístup:https://dmtcs.episciences.org/6399/pdf