M. Fayers, Weights of multipartitions and representations of Ariki-Koike algebras, Adv. Math, vol.206, pp.112-144, 2006.

M. Fayers, Core blocks of Ariki-Koike algebras II: the weight of a core block

M. Fayers, Simultaneous core multipartitions, European J. Combin, vol.76, pp.138-158, 2019.

M. Geck and N. Jacon, Representations of Hecke algebras at roots of unity. Algebra and Applications, vol.15, 2011.

N. Jacon and C. Lecouvey, Keys and Demazure crystals for Kac-Moody algebras, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02292653

N. Jacon and C. Lecouvey, Crystal isomorphisms for irreducible highest weight Uv( sle)-modules of higher level, Algebras and Representation Theory, vol.13, pp.467-489, 2010.

A. Lascoux, B. Leclerc, and J. Thibon, Hecke algebras at roots of unity and crystal bases of quantum affine algebras, Comm. Math. Phys, vol.181, issue.1, pp.205-263, 1996.

S. Lyle and A. Mathas, Blocks of cyclotomic Hecke algebras, Adv. Math, vol.216, pp.854-878, 2007.

I. G. Macdonald, Oxford Mathematical Monographs, Symmetric functions and Hall polynomials, 1995.

D. Uglov and D. , Canonical bases of higher level q-deformed Fock spaces and Kazhdan-Lusztig polynomials, Physial Combinatorics, vol.191, 2000.

X. and Y. , A conjecture for q-decomposition matrices of cyclotomic v-Schur algebras, Journal of Algebra, vol.304, issue.1, pp.419-456, 2006.

X. and N. J. , E-mail address: nicolas.jacon@univ-reims.fr E-mail address: cedric.lecouvey@lmpt.univ-tours, UFR Sciences exactes et naturelles Laboratoire de Mathématiques UMR CNRS 9008 Moulin de la Housse BP 1039 51100 REIMS. E-mail address, nicolas.jacon@univ-reims.fr:, C. L.: Institut Denis Poisson UMR CNRS 7013 Faculté des Sciences et Techniques, 2005.