How to get the weak order out of a digraph ?

We construct a poset from a simple acyclic digraph together with a valuation on its vertices, and we compute the values of its Möbius function. We show that the weak order on Coxeter groups $A$<sub>$n-1$</sub>, $B$<sub>$n$</sub>, $Ã$<sub>$n$</sub>, and the flag we...

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Bibliographic Details
Main Author: Francois Viard
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2015-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2538/pdf