Abstract
AbstractLet be a totally real field and a natural number. We study the monodromy groups of any ‐dimensional strictly compatible system of ‐adic representations of with distinct Hodge–Tate numbers such that is irreducible for some . When , , and is fully symplectic, the following assertions are obtained. The representation is fully symplectic for almost all . If in addition the similitude character of is odd, then the system is potentially automorphic and the residual image has a subgroup conjugate to for almost all .
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
