  Let p be an arbitrary prime number and k be an algebraically closed field of
characteristic l different from p. We construct maximal simple k-types of Levi
subgroups M' of SLn(F), when F is a non-archimedean locally compact field of
residual characteristic p, which is to say that any cuspidal k-representation
of M' can be compactly induced from an irreducible k-representation of a
compact modulo centre subgroup of M', and we also prove the unicity property of
intertwining implies conjugacy for maximal simple k-types, extended maximal
simple k-types and simple k-characters of M'.
