TY - JOUR
T1 - On the depth r Bernstein projector
AU - Bezrukavnikov, Roman
AU - Kazhdan, David
AU - Varshavsky, Yakov
N1 - Publisher Copyright:
© 2016, Springer International Publishing.
PY - 2016/10/1
Y1 - 2016/10/1
N2 - 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.
AB - 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.
KW - 22E35
KW - 22E50
UR - http://www.scopus.com/inward/record.url?scp=84991094088&partnerID=8YFLogxK
U2 - 10.1007/s00029-016-0278-2
DO - 10.1007/s00029-016-0278-2
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AN - SCOPUS:84991094088
SN - 1022-1824
VL - 22
SP - 2271
EP - 2311
JO - Selecta Mathematica, New Series
JF - Selecta Mathematica, New Series
IS - 4
ER -