非准分裂奇数特殊正交群表征的内窥镜分类

IF 0.9 2区数学 Q2 MATHEMATICS

International Mathematics Research Notices Pub Date : 2024-05-29 DOI:10.1093/imrn/rnae113

Hiroshi Ishimoto

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引用次数: 0

摘要

在阿瑟早先的一本著作中，建立了准分裂正交群和交点群的表征的内视分类。后来，莫克给出了准分裂单元群的内视分类。之后，Kaletha、Minguez、Shin 和 White 又给出了通用参数的非准分裂单元群的内视分类。在本文中，我们继 Kaletha、Minguez、Shin 和 White 之后，证明了泛参数非准分裂奇特正交群的表征的内视分类。

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The Endoscopic Classification of Representations of Non-Quasi-Split Odd Special Orthogonal Groups

In an earlier book of Arthur, the endoscopic classification of representations of quasi-split orthogonal and symplectic groups was established. Later Mok gave that of quasi-split unitary groups. After that, Kaletha, Minguez, Shin, and White gave that of non-quasi-split unitary groups for generic parameters. In this paper we prove the endoscopic classification of representations of non-quasi-split odd special orthogonal groups for generic parameters, following Kaletha, Minguez, Shin, and White.

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来源期刊

International Mathematics Research Notices 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

316

审稿时长

1 months

期刊介绍： International Mathematics Research Notices provides very fast publication of research articles of high current interest in all areas of mathematics. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics.