Résumé
Journal of Pure and Applied Algebra 161 (2001), no. 3, 295-307 Let$ \mathfrak{g} $be a quasitriangular Lie bialgebra over a field$ K $of characteristic zero, and let$ \mathfrak{g}^* $be its dual Lie bialgebra. We prove that the formal Poisson group$ K\big[\big[\mathfrak{g}^*\big]\big] $is a braided Hopf algebra, thus generalizing a result due to Reshetikhin (in the case$ \, \mathfrak{g} = \mathfrak{sl}(2,K) \, $ ). The proof is via quantum groups, using the existence of a quasitriangular quantization of$ \mathfrak{g}^* $ , as well as the fact that this one provides also a quantization of$ K\big[\big[\mathfrak{g}^*\big]\big] \, $ .