J. Barwise, J. Etchenmendy-allwein, D. Barker-plummer, and A. Liu, Language, Proof and Logic, 1999.

M. K. Bennett and G. Birkhoff, Two families of Newman lattices, Algebra Universalis, vol.4, issue.1, pp.115-144, 1994.
DOI : 10.1007/BF01190819

G. Birkhoff, Lattice theory, Third (new, 1967.
DOI : 10.1090/coll/025

A. Björner, Orderings of Coxeter groups, Contemp. Math, vol.34, pp.175-195, 1984.
DOI : 10.1090/conm/034/777701

A. Björner and M. L. Wachs, Shellable nonpure complexes and posets, Transactions of the American Mathematical Society, vol.349, issue.10, pp.3945-3975, 1997.
DOI : 10.1090/S0002-9947-97-01838-2

G. Bruns, Free ortholattices, Canad, J. Math, vol.28, issue.5, pp.977-985, 1976.

N. Caspard, THE LATTICE OF PERMUTATIONS IS BOUNDED, International Journal of Algebra and Computation, vol.10, issue.04, pp.481-489, 2000.
DOI : 10.1142/S0218196700000182
URL : https://hal.archives-ouvertes.fr/hal-00095565

N. Caspard, C. Le-conte-de-poly-barbut, and M. Morvan, Cayley lattices of finite Coxeter groups are bounded, Advances in Applied Mathematics, vol.33, issue.1, pp.71-94, 2004.
DOI : 10.1016/j.aam.2003.09.002
URL : https://hal.archives-ouvertes.fr/hal-00095478

C. Chameni-nembua and B. Monjardet, Les treillis pseudocomple??mente??s finis, European Journal of Combinatorics, vol.13, issue.2, pp.89-107, 1992.
DOI : 10.1016/0195-6698(92)90041-W

B. A. Davey and H. A. Priestley, Introduction to Lattices and Order, pp.0-521, 2002.
DOI : 10.1017/CBO9780511809088

V. Duquenne and A. Cherfouh, On permutation lattices, Mathematical Social Sciences, vol.27, issue.1, pp.73-89, 1994.
DOI : 10.1016/0165-4896(94)00733-0

S. Flath, The order dimension of multinomial lattices, Order, vol.21, issue.3, pp.201-219, 1993.
DOI : 10.1007/BF01110542

D. Foata and D. Zeilberger, Graphical major indices, Journal of Computational and Applied Mathematics, vol.68, issue.1-2, pp.79-101, 1996.
DOI : 10.1016/0377-0427(95)00254-5

C. Hohlweg and C. Lange, Realizations of the Associahedron and Cyclohedron, Discrete & Computational Geometry, vol.37, issue.4, pp.517-543, 2007.
DOI : 10.1007/s00454-007-1319-6

R. Freese, Lattice Drawing, online lattice drawing program available at http://www.math.hawaii

R. Freese, J. Je?ek, and J. B. Nation, Free Lattices, Mathematical Surveys and Monographs Amer. Math. Soc, vol.42, 1995.
DOI : 10.1090/surv/042

G. Grätzer, Lattice Theory: Foundation, 2011.
DOI : 10.1007/978-3-0348-0018-1

G. Guilbaud and P. , Analyse algébrique d'un scrutin, Math. Sci. Hum, vol.4, pp.9-33, 1963.

G. Hetyei and C. Krattenthaler, The poset of bipartitions, European Journal of Combinatorics, vol.32, issue.8, pp.1253-1281, 2011.
DOI : 10.1016/j.ejc.2011.03.019

P. Jipsen and H. Rose, Varieties of Lattices Out of print, Lecture Notes in Mathematics, vol.1533, 1992.

C. and L. Conte-de-poly-barbut, Sur les treillis de Coxeter finis, Math. Inform. Sci. Humaines No, vol.125, pp.41-57, 1994.

W. Mccune, Prover9 and Mace4, software available online at http://www.cs.unm, pp.2005-2010

R. N. Mckenzie, Equational bases and nonmodular lattice varieties, Transactions of the American Mathematical Society, vol.174, pp.1-43, 1972.
DOI : 10.1090/S0002-9947-1972-0313141-1

M. Pouzet, K. Reuter, I. Rival, and N. Zaguia, A generalized permutahedron, Algebra Universalis, vol.6, issue.4, pp.496-509, 1995.
DOI : 10.1007/BF01181874

N. Reading, Cambrian lattices, Advances in Mathematics, vol.205, issue.2, pp.313-353, 2006.
DOI : 10.1016/j.aim.2005.07.010
URL : http://doi.org/10.1016/j.aim.2005.07.010

N. Reading, Clusters, Coxeter-sortable elements and noncrossing partitions, Transactions of the American Mathematical Society, vol.359, issue.12, pp.5931-5958, 2007.
DOI : 10.1090/S0002-9947-07-04319-X
URL : http://arxiv.org/abs/math/0507186

N. Reading, Sortable elements and Cambrian lattices, Algebra universalis, vol.56, issue.3-4, pp.411-437, 2007.
DOI : 10.1007/s00012-007-2009-1

L. Santocanale, On the Join Dependency Relation in Multinomial Lattices, Order, vol.21, issue.2, pp.155-179, 2007.
DOI : 10.1007/s11083-007-9066-0
URL : https://hal.archives-ouvertes.fr/hal-00142355

L. Santocanale and F. Wehrung, Sublattices of associahedra and permutohedra, Advances in Applied Mathematics, vol.51, issue.3, pp.419-445, 2013.
DOI : 10.1016/j.aam.2013.03.003
URL : https://hal.archives-ouvertes.fr/hal-00577258

L. Santocanale and F. Wehrung, Lattices of regular closed subsets of closure spaces, preprint

C. G. Wagner, Enumeration of generalized weak orders, Archiv der Mathematik, vol.71, issue.1, pp.147-152, 1982.
DOI : 10.1007/BF01899195

L. Santocanale and L. , Case 901, F-13288 Marseille cedex 9, France E-mail address: luigi.santocanale@lif.univ-mrs.fr URL: http://www.lif.univ-mrs.fr/~lsantoca, Caen Cedex, vol.163, 14032.