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Jordan decompositions of cocenters of reductive ����-adic groups

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sword-2019-11-14T17:54:49.original.xml (130 B)
Original SWORD entry document
Author(s)
He, Xuhua
•
Kim, Ju-Lee
Date Issued
2019
Journal
Representation Theory of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
Version
Final published version
Abstract
© 2019 American Mathematical Society. Cocenters of Hecke algebras H play an important role in studying mod ℓ or ℂ harmonic analysis on connected p-adic reductive groups. On the other hand, the depth r Hecke algebra Hr+ is well suited to study depth r smooth representations. In this paper, we study depth r rigid cocenters Hr+rig of a connected reductive p-adic group over rings of characteristic zero or ℓ ≠ p. More precisely, under some mild hypotheses, we establish a Jordan decomposition of the depth r rigid cocenter, hence find an explicit basis of Hr+rig.
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DOI of Published Version
10.1090/ert/528
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