Geodesic
Crystalline lifts and a variant of the Steinberg-Winter theorem
Documenta mathematica, Tome 27 (2022), pp. 2441-2468.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Let $K/\mathbb{Q}_p$ be a finite extension. For all irreducible representations $\bar\rho:G_K\to G(\bar{\mathbb{F}}_p)$ valued in a general reductive group $G$, we construct crystalline lifts of $\bar{\rho}$ which are Hodge-Tate regular. We also discuss rationality questions. We prove a variant of the Steinberg-Winter theorem along the way.
Classification : 11S20, 14L10
Keywords: Galois representations, \(G\)-complete reducibility 
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     author = {Lin, Zhongyipan},
     title = {Crystalline lifts and a variant of the {Steinberg-Winter} theorem},
     journal = {Documenta mathematica},
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     volume = {27},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a6/}
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Lin, Zhongyipan. Crystalline lifts and a variant of the Steinberg-Winter theorem. Documenta mathematica, Tome 27 (2022), pp. 2441-2468. http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a6/