摘要

We study the local reducibility at p of the p-adic Galois representation attached to a cuspidal automorphic representation of GL(n) (A(Q)). In the case that the underlying Weil-Deligne representation is Frobenius semisimple and indecomposable, we analyze the reducibility completely. We use methods from p-adic Hodge theory, and work under a transversality assumption on the Hodge and Newton filtrations in the corresponding filtered module.

  • 出版日期2011-8

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