Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)

Extended abstracts listed by author > Viard Francois

Extending the weak order on Coxeter groups
Francois Viard  1, 2  
1 : Université Lyon 1, Institut Camille Jordan, UMR 5208 du CNRS, 69622 Villeurbanne, France
2 : Institut Camille Jordan [Villeurbanne]  (ICJ)  -  Website
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. 

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