F-split Galois representations are potentially abelian
classification
🧮 math.NT
keywords
f-splitabeliangaloischaracteristicfieldfrobeniihavingimage
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In this note we relate the property of a semisimple l-adic Galois representation being "F-split" for a number field F to its having abelian image. By F-split we mean that the characteristic polynomials of Frobenii all split in F.
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