Transcendental l-adic Galois representations

dc.creatorKhare, Chandrashekhar
dc.creatorLarsen, Michael
dc.creatorRamakrishna, Ravi
dc.date2004-04-13
dc.date.accessioned2026-07-07T05:07:26Z
dc.date.available2026-07-07T05:07:26Z
dc.descriptionWe consider continuous representations of the Galois group G of a number field K taking values in the completion C of an algebraic closure A of the field of l-adic numbers. We give a construction of irreducible representations of G in GL(2,C) which cannot be conjugated into GL(2,A) but for which there exist density-one sets of primes with Frobenius traces in A. We also show that any such representation must be ramified at infinitely many primes of K.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0404254
dc.identifierhttp://arxiv.org/abs/math/0404254
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70856
dc.subjectNumber Theory
dc.subject11F80
dc.titleTranscendental l-adic Galois representations
dc.typetext

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