The representation coadjointe $\ rho$ of a Groupe of Dregs G is the natural action of G on the dual one of sound Algèbre of Dregs $\ mathfrak \left\{G\right\}$. More explicitly, G acts by conjugation on its space cotangent in the neutral element E and this linear Représentation is given by the morphism of group of Dregs:
$\rho:G \ rightarrow End \left(\ mathfrak \left\{G\right\} ^*\right)$