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Surjectivity criteria for \(p\)-adic representations. I. (English) Zbl 1117.11064
Summary: We prove general surjectivity criteria for \(p\)-adic representations. In particular, we classify all adjoint and simply connected group schemes \(G\) over the Witt ring \(W(k)\) of a finite field \(k\) such that the reduction epimorphism \(G(W_2(k))\twoheadrightarrow G(k)\) has a section.

MSC:
11S23 Integral representations
14L17 Affine algebraic groups, hyperalgebra constructions
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