Abstract
ABSTRACT Work of Bezrukavnikov–Kazhdan–Varshavsky uses an equivariant system of trivial idempotents of Moy–Prasad groups to obtain an Euler–Poincaré formula for the r-depth Bernstein projector. Barbasch–Ciubotaru–Moy use depth-zero cuspidal representations of parahoric subgroups to decompose the Euler–Poincaré presentation of the depth-zero projector. For positive depth r, we establish a decomposition of the Euler–Poincaré presentation of the r-depth Bernstein projector based on a notion of associate classes of cuspidal pairs for Moy–Prasad quotients. We apply these new Euler–Poincaré presentations to obtain decompositions of the resolutions of Schneider–Stuhler and Bestvina–Savin.
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 callSimilar Papers
Disclaimer: 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.
