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

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

2009-05-13

arxiv.org/abs/0905.2151v1

Mathematics

Number Theory

14 pages, uses XY-pic

Scientific paper

In 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.

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