A note on Sen's theory in the imperfect residue field case

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dc.creatorOhkubo, Shun
dc.date2009-05-13
dc.date.accessioned2026-07-07T13:14:33Z
dc.date.available2026-07-07T13:14:33Z
dc.descriptionIn Sen's theory in the imperfect residue field case, Brinon defined a functor from the category of C_p-representations to the category of linear representations of certain Lie algebra. We give a comparison theorem between the continuous Galois cohomology of C_p-representations and the Lie algebra cohomology of the associated representations. The key ingredients of the proof are Hyodo's calculation of Galois cohomology and the effaceability of Lie algebra cohomology for solvable Lie algebras.
dc.description14 pages, uses XY-pic
dc.identifierhttps://arxiv.org/abs/0905.2151
dc.identifierhttp://arxiv.org/abs/0905.2151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230244
dc.subjectNumber Theory
dc.titleA note on Sen's theory in the imperfect residue field case
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