Jordan decompositions of cocenters of reductive ����-adic groups
Name
S1088-4165-2019-00528-1.pdf
Description
Published version
Size
431.35 KB
Format
Unknown
Checksum (MD5)
13aefa0dfa78c1f2961c13f5cf7e4e08
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1090/ert/528
