全局阿瑟参数中的 Theta 对应和简单因子

IF 0.9 1区数学 Q2 MATHEMATICS Algebra & Number Theory Pub Date : 2024-04-16 DOI:10.2140/ant.2024.18.969

Chenyan Wu

引用次数: 0

摘要

通过利用 L 函数极点和 Theta 对应的结果，我们给出了经典群或偏正群的尖顶自形表示 π 的全局阿瑟参数 (χ,b)- 因子的 b 约束，其中 χ 是共轭自偶自形特征，b 是一个整数，即 SL 2(ℂ) 不可还原表示的维数。当 π 位于一般全局 A 包中时，我们会推导出更精确的关系。

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Theta correspondence and simple factors in global Arthur parameters

By using results on poles of $L$ -functions and theta correspondence, we give a bound on $b$ for $(χ, b)$ -factors of the global Arthur parameter of a cuspidal automorphic representation $π$ of a classical group or a metaplectic group where $χ$ is a conjugate self-dual automorphic character and $b$ is an integer which is the dimension of an irreducible representation of ${SL}_{2} (ℂ)$ . We derive a more precise relation when $π$ lies in a generic global $A$ -packet.

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

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