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An Euler-Poincare formula for a depth zero Bernstein projector

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. We establish an Euler-Poincaré formula for natural sums of depth zero Bernstein projectors (which is often the projector of a single Bernstein component) in terms of an equivariant system of Peter-Weyl idempotents of parahoric subgroups GF associated to a block of the reductive quotient GF /G+F
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1090/ert/525

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Somerville College
Role:
Author
ORCID:
0000-0002-7921-9691
Publisher:
American Mathematical Society Publisher's website
Journal:
Representation Theory Journal website
Volume:
23
Pages:
154-187
Publication date:
2019-03-28
Acceptance date:
2019-02-22
DOI:
EISSN:
1088-4165
Pubs id:
pubs:975267
URN:
uri:eca7fac1-b860-47cb-acc8-4344ae17ba2d
UUID:
uuid:eca7fac1-b860-47cb-acc8-4344ae17ba2d
Local pid:
pubs:975267

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