P. Brändén, Sign-graded posets, unimodality of W -polynomials and the Charney-Davis conjecture, Electron, Research Paper 9, p.15, 2004.

P. Frankl, Z. Füredi, and G. Kalai, Shadows of colored complexes., MATHEMATICA SCANDINAVICA, vol.63, pp.169-178, 1988.
DOI : 10.7146/math.scand.a-12231

]. A. Fro and . Frohmader, Face vectors of flag complexes, Israel J. Math, vol.164, pp.153-164, 2008.

D. Foata and M. Schützenberger, Théorie géométrique des polynômes eulériens, Lecture Notes in Mathematics, vol.138, 1970.
DOI : 10.1007/BFb0060799

]. S. Ga and . Gal, Real root conjecture fails for five-and higher-dimensional spheres, Discrete Comput. Geom, vol.34, pp.269-284, 2005.

J. E. Humphreys, Reflection groups and Coxeter groups, 1990.
DOI : 10.1017/CBO9780511623646

]. K. Kar and . Karu, The cd-index of fans and posets, Compositio Mathematica, vol.142, issue.03, pp.701-718, 2006.
DOI : 10.1112/S0010437X06001928

. [. Meshulam, Domination numbers and homology, Journal of Combinatorial Theory, Series A, vol.102, issue.2, pp.321-330, 2003.
DOI : 10.1016/S0097-3165(03)00045-1
URL : http://doi.org/10.1016/s0097-3165(03)00045-1

. [. Nevo, Higher minors and van Kampen's obstruction, MATHEMATICA SCANDINAVICA, vol.101, issue.2, pp.161-176, 2007.
DOI : 10.7146/math.scand.a-15037
URL : http://arxiv.org/abs/math/0602531

E. Nevo and T. K. Petersen, On ??-Vectors Satisfying the Kruskal???Katona Inequalities, Discrete & Computational Geometry, vol.217, issue.3
DOI : 10.1007/s00454-010-9243-6
URL : https://hal.archives-ouvertes.fr/hal-01186270

]. T. Pe and . Petersen, Enriched P -partitions and peak algebras, Adv. Math, vol.209, pp.561-610, 2007.

]. A. Porwi, V. Postnikov, L. Reiner, and . Williams, Faces of generalized permutohedra, Doc. Math, vol.13, pp.207-273, 2008.

G. [. Reiner and . Ziegler, Coxeter-associahedra, Mathematika, vol.40, issue.02, pp.364-393, 1994.
DOI : 10.1016/0097-3165(93)90052-A

L. W. Shapiro, W. J. Woan, and S. Getu, Runs, Slides and Moments, SIAM Journal on Algebraic Discrete Methods, vol.4, issue.4, pp.459-466, 1983.
DOI : 10.1137/0604046

]. R. Siu, D. Simion, and . Ullman, On the structure of the lattice of noncrossing partitions, Discrete Math, pp.193-206, 1991.

]. R. Sta and . Stanley, Combinatorics and Commutative Algebra, Birkhäuser, 1996.

J. R. Stembridge, Coxeter cones and their h-vectors, Advances in Mathematics, vol.217, issue.5, pp.1935-1961, 2008.
DOI : 10.1016/j.aim.2007.09.002
URL : http://doi.org/10.1016/j.aim.2007.09.002

G. M. Ziegler, Lectures on polytopes, Graduate Texts in Mathematics, vol.152, 1995.
DOI : 10.1007/978-1-4613-8431-1