  We introduce and study some affine Hecke algebras of type ADE, generalising
the affine Hecke algebras of GL. We construct irreducible calibrated
representations and describe the calibrated spectrum. This is done in terms of
new families of combinatorial objects equipped with actions of the
corresponding Weyl groups. These objects are built from and generalise the
usual standard Young tableaux, and are controlled by the considered affine
Hecke algebras. By restriction and limiting procedure, we obtain several
combinatorial models for representations of finite Hecke algebras and Weyl
groups of type ADE. Representations are constructed by explicit formulas, in a
seminormal form.
