## 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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