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A COMBINATORIAL SOLUTION TO MŒGLIN’S PARAMETRIZATION OF ARTHUR PACKETS FOR $p$-ADIC QUASISPLIT $Sp(N)$ AND $O(N)$

Part of: Lie groups Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  25 July 2019

Bin Xu Open the ORCID record for Bin Xu [Opens in a new window]
Bin Xu*
Affiliation:
Yau Mathematical Sciences Center and Department of Mathematics, Tsinghua University, Beijing, China (binxu@tsinghua.edu.cn)
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Abstract

We develop a general procedure to study the combinatorial structure of Arthur packets for $p$-adic quasisplit $\mathit{Sp}(N)$ and $O(N)$ following the works of Mœglin. This will allow us to answer many delicate questions concerning the Arthur packets of these groups, for example the size of the packets.

Keywords

symplectic and orthogonal groupArthur packetJacquet functor

MSC classification

Primary: 22E50: Representations of Lie and linear algebraic groups over local fields
Secondary: 11F70: Representation-theoretic methods; automorphic representations over local and global fields
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 20 , Issue 4 , July 2021 , pp. 1091 - 1204
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Copyright
© The Author(s), 2019. Published by Cambridge University Press

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