Abstract
Let G/H be a reductive symmetric space over a p-adic field F, the algebraic groups G and H being assumed semisimple of relative rank 1. One of the branching problems for the Steinberg representation StG of G is the determination of the dimension of the intertwining space , for any irreducible representation π of H. We show how this dimension is related to the dimensions of some other intertwining spaces , for a certain finite family Ki, , of anisotropic subgroups of H (here denote the contragredient representation, and 1 the trivial character).
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.
