On some crystalline representations of $G{L}_2(Q_p)$

Abstract

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 $G$.

12 pages

References in corpus (1)

• Admissible unitary completions of locally $Q_p$-rational representations of $G{L}_2(F)$