Extending the weak order on Coxeter groups
1 : Université Lyon 1, Institut Camille Jordan, UMR 5208 du CNRS, 69622 Villeurbanne, France
2 : Institut Camille Jordan [Villeurbanne]
(ICJ)
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Centre National de la Recherche Scientifique : UMR5208, Université Jean Monnet [Saint-Etienne], Institut National des Sciences Appliquées de Lyon, Ecole Centrale de Lyon, Université Claude Bernard Lyon 1
Bât. Jean Braconnier 43 bd du 11 novembre 1918 69622 VILLEURBANNE CEDEX -
France
We introduce a new family of complete lattices, arising from a digraph together with a valuation on its vertices and generalizing a previous construction of the author. We then apply this to the study of two long-standing conjectures of Dyer, and we provide a description of the Tamari lattice with this theory.
| Subject : | : | Poster |
| Topics | : | Combinatorics |
| PDF version | : |  PDF version |
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