Year: 2025
Type: article
Abstract: We develop obstruction theory for lifting characteristic-p local Galois representations valued in reductive groups of type B l , C l , D l or G 2 .An application of the Emerton-Gee stack then reduces the existence of crystalline lifts to a purely combinatorial problem when p is not too small.As a toy example, we show for all local fields K ޑ/ p , with p > 3, all representations ρ :where G 2 is the exceptional Chevalley group of type G 2 . MSC2020: 11F80.
Source: Algebra & Number Theory
Author: Zhongyipan Lin
Institution: Northwestern University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4407760447