A Note on Potential Diagonalizability of Crystalline Representations

Hui Gao; Tong Liu

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arXiv · 1204.4704

A Note on Potential Diagonalizability of Crystalline Representations

Hui Gao·Tong Liu

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Abstract

Let K_0 be a finite unramified extension of Q_p. We show that all crystalline representations of G_{K_0} (the absolute Galois group of K_0) with Hodge-Tate weights in {0, ..., p-1} are potentially diagonalizable.

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Hui Gao, Tong Liu. 2014-10-13. A Note on Potential Diagonalizability of Crystalline Representations. https://arxiv.org/abs/1204.4704

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