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A Note on Potential Diagonalizability of Crystalline Representations
classification
🧮 math.NT
keywords
crystallinerepresentationsabsolutediagonalizabilitydiagonalizableextensionfinitegalois
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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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