The aim of this paper is to classify two dimensional split triangulinerepresentations of $p$-adic fields. This is a generalization of a result ofColmez who classified two dimensional split trianguline representations of$\mathrm{Gal}(\bar{\mathbb{Q}}_p/\mathbb{Q}_p)$ by using$(\phi,\Gamma)$-modules over Robba ring. In this paper, we classify twodimensional split trianguline representations of $\mathrm{Gal}(\bar{K}/K)$ forgeneral $p$-adic field $K$ by using $B$-pairs defined by Berger.
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机译：本文的目的是对$ p $ -adic字段的二维三角剖分表示进行分类。这是对Colmez的结果的概括，他通过使用$ {\ phi，\来对$ \ mathrm {Gal}（\ bar {\ mathbb {Q}} _ p / \ mathbb {Q} _p）$的二维剖分三角表示进行分类。 Gamma）$-模块在Robba环上。在本文中，我们通过使用Berger定义的$ B $对来对$ \ mathrm {Gal}（\ bar {K} / K）$的常规$ p $ -adic字段$ K $进行二维三角剖分表示。
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