On the depth r Bernstein projector
Author(s)Bezrukavnikov, Roman; Kazhdan, David; Varshavsky, Yakov
MetadataShow full item record
In this paper we prove an explicit formula for the Bernstein projector to representations of depth ≤ r. As a consequence, we show that the depth zero Bernstein projector is supported on topologically unipotent elements and it is equal to the restriction of the character of the Steinberg representation. As another application, we deduce that the depth r Bernstein projector is stable. Moreover, for integral depths our proof is purely local.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Springer International Publishing
Bezrukavnikov, Roman, David Kazhdan, and Yakov Varshavsky. “On the Depth r Bernstein Projector.” Selecta Mathematica 22, no. 4 (October 2016): 2271–2311.
Author's final manuscript