%0 Journal Article %T On some crystalline representations of $GL_2(Q_p)$ %A Vytautas Paskunas %J Mathematics %D 2008 %I arXiv %X We show that the universal unitary completion of certain locally algebraic representation of $G:=\GL_2(\Qp)$ with $p>2$ is non-zero, topologically irreducible, admissible and corresponds to a 2-dimensional crystalline representation with non-semisimple Frobenius via the $p$-adic Langlands correspondence for $G$. %U http://arxiv.org/abs/0804.1942v2