Combinatorics of Coxeter groups, Graduate Texts in Mathematics, vol.231, 2005. ,
Orderings of Coxeter groups, Combinatorics and algebra, vol.34, pp.175-195, 1983. ,
, Groupes et algèbres de Lie, Chapitres IV-VI. Actualités Scientifiques et Industrielles, No. 1337, 1968.
Polytopal realizations of generalized associahedra, Canad. Math. Bull, vol.45, issue.4, pp.537-566, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00002124
The weak order on integer posets, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-02017630
The facial weak order and its lattice quotients, Trans. Amer. Math. Soc, vol.370, issue.2, pp.1469-1507, 2018. ,
Cluster algebras. I. Foundations, J. Amer. Math. Soc, vol.15, issue.2, pp.497-529, 2002. ,
Cluster algebras. II. Finite type classification, Invent. Math, vol.154, issue.1, pp.63-121, 2003. ,
Y -systems and generalized associahedra, Ann. of Math, vol.158, issue.2, pp.977-1018, 2003. ,
Realizations of the associahedron and cyclohedron, Discrete Comput. Geom, vol.37, issue.4, pp.517-543, 2007. ,
Permutahedra and generalized associahedra, Adv. Math, vol.226, issue.1, pp.608-640, 2011. ,
Permutahedra and associahedra: generalized associahedra from the geometry of finite reflection groups, Associahedra, Tamari lattices and related structures, vol.299, pp.129-159, 2012. ,
Reflection groups and Coxeter groups, of Cambridge Studies in Advanced Mathematics, vol.29, 1990. ,
Pseudo-Permutations I: First Combinatorial and Lattice Properties, 13th International Conference on Formal Power Series and Algebraic Combinatorics, 2001. ,
Realization of the Stasheff polytope, Arch. Math. (Basel), vol.83, issue.3, pp.267-278, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00139415
, The On-Line Encyclopedia of Integer Sequences, 2010.
Convex geometries on root systems, Comm. Algebra, vol.34, issue.9, pp.3183-3202, 2006. ,
, Permutrees. Algebraic Combin, vol.1, issue.2, pp.173-224, 2018.
Weak Bruhat order on the set of faces of the permutohedron and the associahedron, J. Algebra, vol.299, issue.2, pp.648-678, 2006. ,
Lattice congruences of the weak order, Order, vol.21, issue.4, pp.315-344, 2004. ,
Cambrian lattices, Adv. Math, vol.205, issue.2, pp.313-353, 2006. ,
, Coxeter-sortable elements and noncrossing partitions, Trans. Amer. Math. Soc, vol.359, issue.12, pp.5931-5958, 2007.
Sortable elements and Cambrian lattices, Algebra Universalis, vol.56, issue.3-4, pp.411-437, 2007. ,
From the tamari lattice to cambrian lattices and beyond, Associahedra, Tamari Lattices and Related Structures -Tamari Memorial Festschrift, vol.299, pp.293-322, 2012. ,
Finite Coxeter groups and the weak order, Lattice theory: special topics and applications, vol.2, pp.489-561, 2016. ,
Cambrian fans, J. Eur. Math. Soc, vol.11, issue.2, pp.407-447, 2009. ,
, The Sage developers. Sage Mathematics Software, 2016.
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