  We show that the Young tableaux theory and constructions of the irreducible
representations of the Weyl groups of type A, B and D, Iwahori-Hecke algebras
of types A, B, and D, the complex reflection groups G(r,p,n) and the
corresponding cyclotomic Hecke algebras H_{r,p,n}, can be obtained, in all
cases, from the affine Hecke algebra of type A. The Young tableaux theory was
extended to affine Hecke algebras (of general Lie type) in recent work of A.
Ram. We also show how (in general Lie type) the representations of general
affine Hecke algebras can be constructed from the representations of simply
connected affine Hecke algebras by using an extended form of Clifford theory.
This extension of Clifford theory is given in the Appendix.
