A. Björner and F. Brenti, Combinatorics of Coxeter groups, Graduate Texts in Mathematics, vol.231, 2005.

P. J. Cameron and D. G. Fon-der-flaass, Orbits of antichains revisited, European Journal of Combinatorics, vol.16, issue.6, pp.545-554, 1995.
DOI : 10.1016/0195-6698(95)90036-5

P. Duchet, Sur les hypergraphes invariants, Discrete Mathematics, vol.8, issue.3, pp.269-280, 1974.
DOI : 10.1016/0012-365X(74)90139-3

URL : http://doi.org/10.1016/0012-365x(74)90139-3

R. A. Proctor, Bruhat Lattices, Plane Partition Generating Functions, and Minuscule Representations, European Journal of Combinatorics, vol.5, issue.4, pp.331-350, 1984.
DOI : 10.1016/S0195-6698(84)80037-2

URL : http://doi.org/10.1016/s0195-6698(84)80037-2

V. Reiner, D. Stanton, and D. White, The cyclic sieving phenomenon, Journal of Combinatorial Theory, Series A, vol.108, issue.1, pp.17-50, 2004.
DOI : 10.1016/j.jcta.2004.04.009

D. B. Rush and X. Shi, On orbits of order ideals of minuscule posets, Journal of Algebraic Combinatorics, vol.24, issue.3, 2011.
DOI : 10.1007/s10801-012-0380-2

URL : https://hal.archives-ouvertes.fr/hal-01229704

D. B. Rush and X. Shi, On orbits of order ideals of minuscule posets, Journal of Algebraic Combinatorics, vol.24, issue.3, 2013.
DOI : 10.1007/s10801-012-0380-2

URL : https://hal.archives-ouvertes.fr/hal-01229704

T. A. Springer, Regular elements of finite reflection groups, Inventiones Mathematicae, vol.25, issue.6, pp.159-198, 1974.
DOI : 10.1007/BF01390173

R. P. Stanley, Promotion and evacuation. Electron, honor of Anders Bjorner):Research Paper 9, 2009.

R. P. Stanley, Enumerative combinatorics, Cambridge Studies in Advanced Mathematics, vol.1, issue.49, 2012.

J. R. Stembridge, in complex Lie groups, Duke Mathematical Journal, vol.73, issue.2, pp.469-490, 1994.
DOI : 10.1215/S0012-7094-94-07320-1

J. R. Stembridge, On the fully commutative elements of Coxeter groups, Journal of Algebraic Combinatorics, vol.5, issue.4, pp.353-385, 1996.
DOI : 10.1007/BF00193185