On some crystalline representations of $GL_2(Q_p)$

Details On some crystalline representations of $GL_2(Q_p)$ On some crystalline representations of $GL_2(Q_p)$

2008-04-11

arxiv.org/abs/0804.1942v2

Mathematics

Representation Theory

12 pages

Scientific paper

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 $G$.

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