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In this note we complement a part of a theorem of Fontaine-Mazur. We showthat if $(V,\rho)$ is an irreducible finite dimensional representation of theGalois group $Gal({\bar K}/K)$ of a finite extension of $K\Q_p$, of Hodge-Tatetype $(0,1)$ then it is potentially semi-stable if and only if it ispotentially crystalline. This was proved by Fontaine-Mazur for dimension twoand $p\geq 5$ by their classfication theorem

A remark on potentially semi-stable representations of Hodge-Tate type (0,1)