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A new class of infinite dimensional representations of the Yangians$Y(\frak{g})$ and $Y(\frak{b})$ corresponding to a complex semisimple algebra$\frak{g}$ and its Borel subalgebra $\frak{b}\subset\frak{g}$ is constructed.It is based on the generalization of the Drinfeld realization of $Y(\frak{g})$,$\frak{g}=\frak{gl}(N)$ in terms of quantum minors to the case of an arbitrarysemisimple Lie algebra $\frak{g}$. The Poisson geometry associated with theconstructed representations is described. In particular it is shown that theunderlying symplectic leaves are isomorphic to the moduli spaces of$G$-monopoles defined as the components of the space of based maps of$\mathbb{P}^1$ into the generalized flag manifold $X=G/B$. Thus the constructedrepresentations of the Yangian may be considered as a quantization of themoduli space of the monopoles.Comment: 16 pages, LaTex2e, some misprints are fixe

On a Class of Representations of the Yangian and Moduli Space of Monopoles