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Article: Type A images of Galois representations and maximality
Title | Type A images of Galois representations and maximality |
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Authors | |
Keywords | Galois representations Big Galois image Type A representations |
Issue Date | 2016 |
Citation | Mathematische Zeitschrift, 2016, v. 284, n. 3-4, p. 989-1003 How to Cite? |
Abstract | © 2016, Springer-Verlag Berlin Heidelberg. Given a compatible subsystem {ρℓ}ℓ of n-dimensional ℓ-adic Galois representations arising from étale cohomology of any complete, non-singular variety over a number field K, we define Γ ℓ: = ρℓ(Gal (K¯ / K)) and let Gℓ denote the Zariski closure of Γ ℓ in GL n. If Gℓ is of Type A in the sense that all simple composition factors are of type A in the Cartan-Killing classification, then Γ ℓ is, in a suitable sense, maximal in Gℓ for all ℓ≫ 0. As a corollary, if ρℓ is semisimple and ℓ is sufficiently large, then Gℓ is unramified. |
Persistent Identifier | http://hdl.handle.net/10722/297345 |
ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 1.097 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Hui, Chun Yin | - |
dc.contributor.author | Larsen, Michael | - |
dc.date.accessioned | 2021-03-15T07:33:34Z | - |
dc.date.available | 2021-03-15T07:33:34Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | Mathematische Zeitschrift, 2016, v. 284, n. 3-4, p. 989-1003 | - |
dc.identifier.issn | 0025-5874 | - |
dc.identifier.uri | http://hdl.handle.net/10722/297345 | - |
dc.description.abstract | © 2016, Springer-Verlag Berlin Heidelberg. Given a compatible subsystem {ρℓ}ℓ of n-dimensional ℓ-adic Galois representations arising from étale cohomology of any complete, non-singular variety over a number field K, we define Γ ℓ: = ρℓ(Gal (K¯ / K)) and let Gℓ denote the Zariski closure of Γ ℓ in GL n. If Gℓ is of Type A in the sense that all simple composition factors are of type A in the Cartan-Killing classification, then Γ ℓ is, in a suitable sense, maximal in Gℓ for all ℓ≫ 0. As a corollary, if ρℓ is semisimple and ℓ is sufficiently large, then Gℓ is unramified. | - |
dc.language | eng | - |
dc.relation.ispartof | Mathematische Zeitschrift | - |
dc.subject | Galois representations | - |
dc.subject | Big Galois image | - |
dc.subject | Type A representations | - |
dc.title | Type A images of Galois representations and maximality | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s00209-016-1683-0 | - |
dc.identifier.scopus | eid_2-s2.0-84966715975 | - |
dc.identifier.volume | 284 | - |
dc.identifier.issue | 3-4 | - |
dc.identifier.spage | 989 | - |
dc.identifier.epage | 1003 | - |
dc.identifier.eissn | 1432-1823 | - |
dc.identifier.isi | WOS:000386769300013 | - |
dc.identifier.issnl | 0025-5874 | - |