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Some Unipotent Arthur Packets for Reductive p-adic Groups.
- Source :
-
IMRN: International Mathematics Research Notices . May2024, Vol. 2024 Issue 9, p7502-7525. 24p. - Publication Year :
- 2024
-
Abstract
- Let |${\textsf k}$| be a |$p$| -adic field, and let |$\textbf {G}({\textsf k})$| be the |${\textsf k}$| -points of a connected reductive group, inner to split. The set of Aubert–Zelevinsky duals of the constituents of a tempered L-packet forms an Arthur packet for |$\textbf {G}({\textsf k})$|. In this paper, we give an alternative characterization of such Arthur packets in terms of the wavefront set, proving in some instances a conjecture of Jiang–Liu and Shahidi. Pursuing an analogy with real and complex groups, we define some special unions of Arthur packets, which we call weak Arthur packets and describe their constituents in terms of their Langlands parameters. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ANALOGY
*LOGICAL prediction
*P-adic analysis
*ZERNIKE polynomials
Subjects
Details
- Language :
- English
- ISSN :
- 10737928
- Volume :
- 2024
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- IMRN: International Mathematics Research Notices
- Publication Type :
- Academic Journal
- Accession number :
- 177084751
- Full Text :
- https://doi.org/10.1093/imrn/rnad245