  The Baxterization process for the dynamical Yang-Baxter equation is studied.
We introduce the local dynamical Hecke ,Temperley-Lieb and
Birman-Murakami-Wenzl operators, then by inserting spectral parameters, from
each representation of these operators, we get dynamical R matrix under some
conditions. As applications, we reformulate trigonometric degeneration of
elliptic quantum group representations and also get dynamical R matrix for
critical ADE integrable lattice models. Through Baxterization, we construct
some one dimensional integrable systems that are dynamical version of the
Heisenberg spin chain.
