Graded R-matrices for integrable systems

We present here the construction of non-skew-symmetric classical R-matrices with a finite number of poles associated with graded Lie algebras, using a generalized version of the mean procedure of Faddeev-Reshetikhin. Examples of the corresponding integrable system in classical mechanics and field theory are introduced. A universal canonical realization of these structures is then given. The interpretation of these R-matrices as regularizations of the trigonometric R-matrices, and some extensions of this construction, in particular to elliptic R-matrices, are also described. (orig.)