On some crystalline representations of $GL_2(Q_p)$

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 $G$ .

On some crystalline representations of $G L_{2} (Q_{p})$

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On some crystalline representations of $G L_{2} (Q_{p})$

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On some crystalline representations of GL2(Qp)GL2​(Qp​)

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On some crystalline representations of GL2(Qp)GL2​(Qp​)

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On some crystalline representations of $G L_{2} (Q_{p})$

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On some crystalline representations of $G L_{2} (Q_{p})$

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