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Sen, Shankar

Continuous cohomology and \(p\)-adic Galois representations. (English) Zbl 0463.12005

Invent. Math. 62, 89-116 (1980).
Reviewer: Gerhard Frey (Saarbrücken)
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Cited in 8 Reviews
Cited in 43 Documents

MSC:

11S25 Galois cohomology
20G10 Cohomology theory for linear algebraic groups
14F30 \(p\)-adic cohomology, crystalline cohomology
22E50 Representations of Lie and linear algebraic groups over local fields
20G25 Linear algebraic groups over local fields and their integers

Keywords:

p-adic cohomology; p-adic Galois representations; p-adic Lie groups; Hodge-Tate-decomposition; p-adic representation theory

Citations:

Zbl 0157.27601
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Full Text: DOI EuDML

References:

[1] Fontaine, J-M.: Modules Galoisiens, modules filtrés, et anneaux de Barsotti-Tate, Soc. Math. de France, Astérisque65, 3-80 (1979) · Zbl 0429.14016
[2] Lazard, M.: Groupes Analytiquesp-adiques, Publ. Math. no. 26, 1965 · Zbl 0139.02302
[3] Sen, S.: On automorphisms of local fields, Ann. of Math.90, 33-46 (1969) · Zbl 0199.36301 · doi:10.2307/1970680
[4] Sen, S.: Lie algebras of Galois groups arising from Hodge-Tate modules, Ann. of Math.97, 160-170 (1973) · Zbl 0258.12009 · doi:10.2307/1970879
[5] Sen, S.: On explicit reciprocity laws, J. Reine Angew. Math.313, 1-26 (1980) · Zbl 0411.12005 · doi:10.1515/crll.1980.313.1
[6] Serre, J-P.: Corps Locaux, Paris: Hermann 1962 · Zbl 0137.02601
[7] Serre, J-P.: Résumé des cours de 1965-1966, Annuaire du Collège de France 49-58 (1966-1967)
[8] Serre, J-P.: Sur les groupes de Galois attachés aux groupesp-divisibles, Proc. Conf. Local Fields (T.A. Springer ed.), pp. 118-131, Heidelberg: Springer-Verlag 1967
[9] Serre, J-P.: Abelianl-adic representations and elliptic curves, New York: Benjamin 1968
[10] Serre, J-P.: Groupes algébriques associés aux modules de Hodge-Tate, Soc. Math. de France, Astérisque65, 155-188 (1979)
[11] Tate, J.:p-divisible groups, Proc. Conf. Local Fields (T.A. Springer ed.), pp. 158-183, Heidelberg: Springer-Verlag 1967
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