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On anti-tempered local Arthur packets and a lemma of Arthur

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arxiv 2405.17407 v2 pith:EHU72NJJ submitted 2024-05-27 math.NT math.RT

Baiying Liu , Chi-Heng Lo , Freydoon Shahidi This is my paper · ORCID
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keywords arthuranti-temperedlemmalocalpacketscertainclassicalconsequential
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In this paper, following Arthur's ideas, we rework the process of constructing the anti-tempered local Arthur packets for quasi-split classical groups and their pure inner forms. In particular, we present explicit examples illustrating certain gap in a consequential lemma of Arthur and provide a uniform modification, based on the work of Moeglin, Waldspurger, and Xu.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On $A$-parameters containing unitary lowest weight representations of $\mathrm{U}(p, q)$

    math.RT 2025-02 conditional novelty 7.0 of 10

    Every Arthur packet of U(p,q) contains at most one unitary lowest weight representation, with explicit conditions for existence and a formula for the lowest K-type.

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