On Lie algebras arising from \(p\)-adic representations in the imperfect residue field case

DOI10.1016/J.JALGEBRA.2014.02.021zbMath1304.11131arXiv1307.8107OpenAlexW1972490314WikidataQ115350936 ScholiaQ115350936MaRDI QIDQ402425

Shun Ohkubo

Publication date: 28 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.8107

zbMATH Keywords

\(p\)-adic representationSen's theory

Mathematics Subject Classification ID

Galois theory (11S20) (p)-adic theory, local fields (11F85) Ramification and extension theory (11S15) Field arithmetic (12E30)

Cites Work

• Unnamed Item
• The \(p\)-adic monodromy theorem in the imperfect residue field case
• Continuous cohomology and \(p\)-adic Galois representations
• A generalization of Sen's theory.
• Conductors and the moduli of residual perfection
• \(p\)-adic analytic groups
• Zeros of polynomials over local fields. The Galois action
• Lie algebras of Galois groups arising from Hodge-Tate modules
• Représentations p-adiques cristallines et de de Rham dans le cas relatif

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