Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Locally analytic vectors of some crystabelian representations of
  GL_2(Qp)   For V a 2-dimensional p-adic representation of G_Qp, we denote by B(V) the
admissible unitary representation of GL_2(Qp) attached to V under the p-adic
local Langlands correspondence of GL_2(Qp) initiated by Breuil. In this
article, building on the works of Berger-Breuil and Colmez, we determine the
locally analytic vectors B(V)an of B(V) when V is irreducible, crystabelian and
Frobenius semi-simple with Hodge-Tate weights (0,k-1) for some integer k>=2;
this proves a conjecture of Breuil. Using this result, we verify Emerton's
conjecture that dim Ref^{\eta\otimes\psi}(V)=dim Exp^{\eta|\cdot|\otimes
x\psi}(B(V)an\otimes(x|\cdot|\circ\det)) for those V which are irreducible,
crystabelian and not exceptional.

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The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs