Crystal graphs of higher level q-deformed Fock spaces, Lusztig a-values   and Ariki-Koike algebras
  We show that the different labelings of the crystal graph for irreducible highest weight $\mathcal{U}\_q (\hat{\mathfrak{sl}}\_e)$-modules lead to different labelings of the simple modules for non semisimple Ariki-Koike algebras by using Lusztig $a$-values. 
Nicolas Jacon (LM-Besan\c{c}on)