Abstract
Using linear periods on the mirabolic subgroup of GL(n,F), for F a nonarchimedean local field, we give a list of the maximal Levi subgroups of GL(n,F) which can distinguish discrete series and generic representations. We also obtain the functional equation of the local exterior-square L-function of a generic representation of GL(n,F) when n=2m is even. Then we discuss the relation between Shalika models and local models for representations of GL(2m,F). Finally we give a necessary and sufficient condition on the cuspidal representation ρ for a generalised Steinberg representation Stk(ρ) of GL(2m,F) to have a local model.
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.
