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Surjectivity Criteria for p-adic Representations, Part I

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Abstract

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.

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Authors and Affiliations

  1. Mathematics Department, University of Arizona, 617 N. Santa Rita, P.O. Box 210089, Tucson, AZ, 85721, USA

    Adrian Vasiu

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  1. Adrian Vasiu
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Correspondence to Adrian Vasiu.

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Mathematics Subject Classification (2000): Primary: 11S23, 14L17, 17B45, 20G05, 20G40

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Vasiu, A. Surjectivity Criteria for p-adic Representations, Part I. manuscripta math. 112, 325–355 (2003). https://doi.org/10.1007/s00229-003-0402-4

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  • DOI: https://doi.org/10.1007/s00229-003-0402-4

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