Crystalline lifts and a variant of the Steinberg-Winter theorem

DOI10.25537/DM.2022V27.2441-2468arXiv2011.08766MaRDI QIDQ6353959

Zhongyipan Lin

Publication date: 17 November 2020

Abstract: Let $K/mathbb{Q}_p$ be a finite extension. For all irreducible representations $$ valued in a general reductive group $G$, we construct crystalline lifts of $$ which are Hodge-Tate regular. We also discuss rationality questions. We prove a variant of the Steinberg-Winter theorem along the way.

Mathematics Subject Classification ID

Galois theory (11S20) Galois representations (11F80) Group varieties (14L10)

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