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• W3100949704 abstract "We present an algorithm for computing the $p$-component of the automorphic representation arising from a cuspidal newform $f$ for a prime $p$. This is equivalent to computing the restriction to the decomposition group at $p$ of the $ell$-adic Galois representations attached to $f$ for any $ellneq p$. The situation is most interesting when $p^2$ divides the level of $f$, in which case the $p$-component could be supercuspidal. In the supercuspidal case, the local component is induced from an irreducible character of a compact-mod-center subgroup of $text{GL}_2(mathbf{Q}_p)$; our algorithm outputs both the group and the irreducible character. We provide examples which illustrate how the local Galois representation can be completely read off from the local component." @default.
• W3100949704 created "2020-11-23" @default.
• W3100949704 creator A5042624681 @default.
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• W3100949704 date "2011-09-20" @default.
• W3100949704 modified "2023-10-10" @default.
• W3100949704 title "On the computation of local components of a newform" @default.
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• W3100949704 doi "https://doi.org/10.1090/s0025-5718-2011-02530-5" @default.
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