S. Ariki, Representations of quantum algebras and combinatorics of Young tableaux. Translated from the 2000 Japanese edition and revised by the author, 2002.

S. Ariki and K. Koike, A Hecke Algebra of (Z/rZ)Sn and Construction of Its Irreducible Representations, Advances in Mathematics, vol.106, issue.2, pp.216-243, 1994.
DOI : 10.1006/aima.1994.1057

C. Bonnafé and N. Jacon, Cellular structures on Hecke algebras of type B, Journal of Algebra, vol.321, issue.11, pp.3089-3111, 2009.
DOI : 10.1016/j.jalgebra.2008.04.017

J. Brundan and A. S. Kleshchev, Graded decomposition numbers for cyclotomic Hecke algebras, Advances in Mathematics, vol.222, issue.6
DOI : 10.1016/j.aim.2009.06.018

V. V. Deodhar, On some geometric aspects of Bruhat orderings II. The parabolic analogue of Kazhdan-Lusztig polynomials, Journal of Algebra, vol.111, issue.2, pp.483-506, 1987.
DOI : 10.1016/0021-8693(87)90232-8

R. Dipper and A. , Morita equivalences of Ariki-Koike algebras, Mathematische Zeitschrift, vol.240, issue.3, pp.579-610, 2002.
DOI : 10.1007/s002090100371

M. Fayers, An LLT-type algorithm for computing higher-level canonical bases, preprint, 2009.

O. Foda, B. Leclerc, M. Okado, J. Thibon, and T. Welsh, Branching functions of A (1) n?1 and Jantzen-Seitz problem for Ariki-Koike algebras, Advances in Math, pp.141-322, 1999.

M. Geck, Modular representations of Hecke algebras. Group representation theory, pp.301-353, 2007.

M. Geck, Representations of Hecke algebras at roots of unity, Séminaire Bourbaki. Exp. No, vol.98, issue.3, pp.33-55, 1997.
DOI : 10.1007/978-0-85729-716-7

M. Geck and R. , Rouquier Centers and simple modules for Iwahori-Hecke algebras. Finite reductive groups (Luminy, Progr. Math. 141, pp.251-272, 1994.

I. Grojnowski and M. Haiman, Affine Hecke algebras and positivity of LLT and Macdonald polynomials

J. J. Graham and G. I. Lehrer, Cellular algebras, Inventiones Mathematicae, vol.128, issue.3, pp.1-34, 1996.
DOI : 10.1007/BF01232365

T. Halverson and A. Ram, Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of the complex reflection groups G(r, p, n). Canad, J. Math, vol.50, issue.1, pp.167-192, 1998.

N. Jacon, An algorithm for the computation of the decomposition matrices for Ariki???Koike algebras, Journal of Algebra, vol.292, issue.1, pp.100-109, 2005.
DOI : 10.1016/j.jalgebra.2004.10.017

URL : https://hal.archives-ouvertes.fr/hal-00002857

N. Jacon, Crystal Graphs of higher level q-deformed Fock spaces, Lusztig a-values and Ariki- Koike algebras, Algebras and Representation Theory, pp.565-591, 2007.

N. Jacon and C. Lecouvey, Crystal isomorphisms for irreducible highest weight Uv( sle) modules of higher level, preprint, arXiv:math/0706

M. Jimbo, K. C. Misra, T. Miwa, and M. Okado, Combinatorics of representations of $$U_q (\widehat{\mathfrak{s}\mathfrak{l}}(n))$$ atq=0, Communications in Mathematical Physics, vol.53, issue.3, pp.543-566, 1991.
DOI : 10.1007/BF02099073

M. Kashiwara, Bases cristallines des groupes quantiques. (French) [Crystalline bases of quantum groups] Edited by Charles Cochet, Cours Spécialisés [Specialized Courses], 9. Société Mathématique de France, 2002.

M. Kashiwara and A. Tanisaki, Parabolic Kazhdan???Lusztig Polynomials and Schubert Varieties, Journal of Algebra, vol.249, issue.2, pp.306-325, 2002.
DOI : 10.1006/jabr.2000.8690

URL : http://doi.org/10.1006/jabr.2000.8690

M. Kashiwara and T. Tanisaki, Characters of irreducible modules with non-critical highest weights over affine Lie algebras, Representations and Quantizations, pp.275-296, 1998.

A. Lascoux, B. Leclerc, and J. Thibon, Hecke algebras at roots of unity and crystal bases of quantum affine algebras, Communications in Mathematical Physics, vol.20, issue.1, pp.205-263, 1996.
DOI : 10.1007/BF02101678

B. Leclerc and H. Miyachi, Constructible characters and canonical bases, Journal of Algebra, vol.277, issue.1, pp.298-317, 2004.
DOI : 10.1016/j.jalgebra.2004.02.023

A. Mathas, The representation theory of the Ariki-Koike and cyclotomic q-Schur algebras. Representation theory of algebraic groups and quantum groups, Adv. Stud. Pure Math. Math. Soc. Japan, vol.40, pp.261-320, 2004.

A. Ram and K. , Nelsen Kostka-Foulkes polynomials and Macdonald spherical functions, Soc. Lect. Notes, vol.307, pp.325-370, 2003.

G. Shephard and J. Todd, Finite unitary reflection groups, Journal canadien de math??matiques, vol.6, issue.0, pp.274-304, 1954.
DOI : 10.4153/CJM-1954-028-3

D. Uglov, Canonical Bases of Higher-Level q-Deformed Fock Spaces and Kazhdan-Lusztig Polynomials, Progr. Math, vol.191, issue.17B67, pp.249-299, 1999.
DOI : 10.1007/978-1-4612-1378-9_8

X. Yvonne, A conjecture for q-decomposition matrices of cyclotomic v-Schur algebras, Journal of Algebra, vol.304, issue.1, pp.419-456, 2006.
DOI : 10.1016/j.jalgebra.2006.03.048

URL : https://hal.archives-ouvertes.fr/hal-00004920

X. Yvonne, An algorithm for computing the canonical bases of higher-level q-deformed Fock spaces, Journal of Algebra, vol.309, issue.2, pp.760-785, 2007.
DOI : 10.1016/j.jalgebra.2006.10.014

URL : https://hal.archives-ouvertes.fr/hal-00094627

X. Yvonne, Base canonique d'espace de Fock de niveau supérieur, thèse de doctorat de l'Université de Basse