O. Abuzzahab, M. Korson, M. Li, and S. Meyer, Cyclic and dihedral sieving for plane partitions, 2005.

H. Barcelo, V. Reiner, and D. Stanton, Bimahonian distributions, Journal of the London Mathematical Society, vol.77, issue.3, 2007.
DOI : 10.1112/jlms/jdn004
URL : http://arxiv.org/abs/math/0703479

A. Berenstein and A. Zelevinsky, Canonical bases for the quantum group of type $A_r$ and piecewise-linear combinatorics, Duke Mathematical Journal, vol.82, issue.3, pp.473-502, 1996.
DOI : 10.1215/S0012-7094-96-08221-6

D. Bessis and V. Reiner, Cyclic Sieving of Noncrossing Partitions for Complex Reflection Groups, Annals of Combinatorics, vol.25, issue.3, 2007.
DOI : 10.1007/s00026-011-0090-9

S. C. Billey and G. Warrington, Kazhdan-Lusztig polynomials for 321-hexagon avoiding permutations, Journal of Algebraic Combinatorics, vol.13, issue.2, pp.111-136, 2001.
DOI : 10.1023/A:1011279130416

A. Björner and F. Brenti, Combinatorics of Coxeter groups, 1995.

F. Brenti, A combinatorial formula for Kazhdan-Lusztig polynomials, Inventiones Mathematicae, vol.17, issue.88, pp.371-394, 1994.
DOI : 10.1007/BF01231537

F. Brenti, Combinatorial Expansions of Kazhdan-Lusztig Polynomials, Journal of the London Mathematical Society, vol.55, issue.3, pp.448-472, 1997.
DOI : 10.1112/S0024610797004948

A. M. Garsia and T. J. Mclarnan, Relations between Young's natural and the Kazhdan-Lusztig representations of Sn, Advances in Mathematics, vol.69, issue.1, pp.32-92, 1988.
DOI : 10.1016/0001-8708(88)90060-6

M. Haiman, Dual equivalence with applications, including a conjecture of Proctor, Discrete Mathematics, vol.99, issue.1-3, pp.79-113, 1992.
DOI : 10.1016/0012-365X(92)90368-P

C. E. Heitsch, Kreweras complementation and orbits in Catalan lattices, 2007.

D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Inventiones Mathematicae, vol.4, issue.2, pp.165-184, 1979.
DOI : 10.1007/BF01390031

G. Kreweras, Sur les partitions non croisees d'un cycle, Discrete Mathematics, vol.1, issue.4, pp.333-350, 1972.
DOI : 10.1016/0012-365X(72)90041-6
URL : http://doi.org/10.1016/0012-365x(72)90041-6

A. Lascoux, B. Leclerc, and J. Thibon, Green Polynomials and Hall-Littlewood Functions at Roots of Unity, European Journal of Combinatorics, vol.15, issue.2, pp.173-180, 1994.
DOI : 10.1006/eujc.1994.1019

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

]. B. Rhoades, Cyclic sieving and promotion, 2007.
URL : https://hal.archives-ouvertes.fr/hal-01185133

B. Rhoades and M. Skandera, Kazhdan???Lusztig immanants and products of matrix minors, Journal of Algebra, vol.304, issue.2, pp.793-811, 2006.
DOI : 10.1016/j.jalgebra.2005.07.017

B. Sagan, The Symmetric Group, 2001.
DOI : 10.1007/978-1-4757-6804-6

M. Skandera, On the dual canonical and Kazhdan???Lusztig bases and 3412-, 4231-avoiding permutations, Journal of Pure and Applied Algebra, vol.212, issue.5, 2006.
DOI : 10.1016/j.jpaa.2007.09.007

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

J. Stembridge, Canonical bases and self-evacuating tableaux, Duke Mathematical Journal, vol.82, issue.3, pp.585-606, 1996.
DOI : 10.1215/S0012-7094-96-08224-1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.6772