  Using the action of the Yang-Baxter elements of the Hecke algebra on
polynomials, we define two bases of polynomials in n variables. The
Hall-Littlewood polynomials are a subfamily of one of them. For q=0, these
bases specialize into the two families of classical Key polynomials (i.e.
Demazure characters for type A). We give a scalar product for which the two
bases are adjoint of each other.
