International Mathematics Research Notices· 2026Q1
On anti-tempered local Arthur packets and a lemma of Arthur
- 7citations
- Q1SCImago
- 2026year
Short summary
Researchers have constructed anti-tempered local Arthur packets for quasi-split classical groups and their pure inner forms, identifying and correcting a gap in a key lemma by Arthur.
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Key points
- Construction of anti-tempered local Arthur packets for quasi-split classical groups and their pure inner forms.
- Identification of a gap in a consequential lemma by Arthur through explicit examples.
- Presentation of a uniform modification to Arthur's lemma.
- The modification is based on the work of Mœglin, Waldspurger, and Xu.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract 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 a gap in a consequential lemma of Arthur and provide a uniform modification, based on the work of Mœglin, Waldspurger, and Xu.
The authors' abstract, as published at the source. International Mathematics Research Notices, 2026 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics