2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218810We 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 $G$.12 pagesRepresentation TheoryNumber Theorytext