Geodesic
Crystalline lifts and a variant of the Steinberg–Winter theorem
Documenta mathematica, Tome 27 (2022), pp. 2441-2468 Cet article a éte moissonné depuis la source EMS Press

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Let K/Qp​ be a finite extension. For all irreducible representations ρˉ​:GK​→G(Fˉp​) valued in a general reductive group G, we construct crystalline lifts of ρˉ​ which are Hodge–Tate regular. We also discuss rationality questions. We prove a variant of the Steinberg-Winter theorem along the way.
DOI : 10.4171/dm/x33
Classification : 11S20, 14L10
Mots-clés : Galois representations, G-complete reducibility 
@article{10_4171_dm_x33,
     author = {Zhongyipan Lin},
     title = {Crystalline lifts and a variant of the {Steinberg{\textendash}Winter} theorem},
     journal = {Documenta mathematica},
     pages = {2441--2468},
     year = {2022},
     volume = {27},
     doi = {10.4171/dm/x33},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/x33/}
}
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Zhongyipan Lin. Crystalline lifts and a variant of the Steinberg–Winter theorem. Documenta mathematica, Tome 27 (2022), pp. 2441-2468. doi: 10.4171/dm/x33

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