RTT presentation of finite W-algebras
  We construct a wide class of finite W-algebras as truncations of Yangians. These truncations correspond to algebra homomorphisms and allow to construct the W-algebras as exchange algebras, the R-matrix being the Yangian's one.   As an application, we classify all irreducible finite dimensionnal representations of these W-algebras and determine their center. 
C. Briot, E. Ragoucy