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- Publisher Website: 10.1112/blms.12818
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Article: Monodromy of four dimensional irreducible compatible systems of Q
| Title | Monodromy of four dimensional irreducible compatible systems of Q |
|---|---|
| Authors | |
| Issue Date | 24-Feb-2023 |
| Publisher | Wiley |
| Citation | Bulletin of the London Mathematical Society, 2023, v. 55, n. 4, p. 1773-1790 How to Cite? |
| Abstract | Let (Formula presented.) be a totally real field and (Formula presented.) a natural number. We study the monodromy groups of any (Formula presented.) -dimensional strictly compatible system (Formula presented.) of (Formula presented.) -adic representations of (Formula presented.) with distinct Hodge–Tate numbers such that (Formula presented.) is irreducible for some (Formula presented.). When (Formula presented.), (Formula presented.), and (Formula presented.) is fully symplectic, the following assertions are obtained. (i)The representation (Formula presented.) is fully symplectic for almost all (Formula presented.). (ii)If in addition the similitude character (Formula presented.) of (Formula presented.) is odd, then the system (Formula presented.) is potentially automorphic and the residual image (Formula presented.) has a subgroup conjugate to (Formula presented.) for almost all (Formula presented.). |
| Persistent Identifier | http://hdl.handle.net/10722/340490 |
| ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 1.043 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Hui, Chun Yin | - |
| dc.date.accessioned | 2024-03-11T10:45:01Z | - |
| dc.date.available | 2024-03-11T10:45:01Z | - |
| dc.date.issued | 2023-02-24 | - |
| dc.identifier.citation | Bulletin of the London Mathematical Society, 2023, v. 55, n. 4, p. 1773-1790 | - |
| dc.identifier.issn | 0024-6093 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/340490 | - |
| dc.description.abstract | <p>Let (Formula presented.) be a totally real field and (Formula presented.) a natural number. We study the monodromy groups of any (Formula presented.) -dimensional strictly compatible system (Formula presented.) of (Formula presented.) -adic representations of (Formula presented.) with distinct Hodge–Tate numbers such that (Formula presented.) is irreducible for some (Formula presented.). When (Formula presented.), (Formula presented.), and (Formula presented.) is fully symplectic, the following assertions are obtained. (i)The representation (Formula presented.) is fully symplectic for almost all (Formula presented.). (ii)If in addition the similitude character (Formula presented.) of (Formula presented.) is odd, then the system (Formula presented.) is potentially automorphic and the residual image (Formula presented.) has a subgroup conjugate to (Formula presented.) for almost all (Formula presented.).<br></p> | - |
| dc.language | eng | - |
| dc.publisher | Wiley | - |
| dc.relation.ispartof | Bulletin of the London Mathematical Society | - |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.title | Monodromy of four dimensional irreducible compatible systems of Q | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1112/blms.12818 | - |
| dc.identifier.scopus | eid_2-s2.0-85148578050 | - |
| dc.identifier.volume | 55 | - |
| dc.identifier.issue | 4 | - |
| dc.identifier.spage | 1773 | - |
| dc.identifier.epage | 1790 | - |
| dc.identifier.eissn | 1469-2120 | - |
| dc.identifier.isi | WOS:000939427000001 | - |
| dc.identifier.issnl | 0024-6093 | - |