caa a22 4500 445837063 CHVBK 20180317145333.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00209-010-0726-1 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0726-1 Ohkubo Shun Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, 153-8914, Tokyo, Japan aut A note on Sen's theory in the imperfect residue field case [Elektronische Daten] [Shun Ohkubo] In Sen's theory in the imperfect residue field case, Brinon defined a functor from the category of $${{\mathbb C}_p}$$-representations to the category of linear representations of a certain Lie algebra. We give a comparison theorem between the continuous Galois cohomology of $${{\mathbb C}_p}$$-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. Springer-Verlag, 2010 p -Adic representations nationallicence Sen's theory nationallicence Galois cohomology nationallicence Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 261-280 0025-5874 269:1-2<261 2011 269 209 https://doi.org/10.1007/s00209-010-0726-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0726-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ohkubo Shun Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, 153-8914, Tokyo, Japan aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 261-280 0025-5874 269:1-2<261 2011 269 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer