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Raising the level for $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\text {GL}_{{n}}$
Published online by Cambridge University Press: 10 June 2014
Abstract
We prove a simple level-raising result for regular algebraic, conjugate self-dual automorphic forms on $\mathrm{GL}_n$. This gives a systematic way to construct irreducible Galois representations whose residual representation is reducible.
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- Research Article
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- The online version of this article is published within an Open Access environment subject to the conditions of the Creative Commons Attribution licence .
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- © The Author 2014
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