非准分裂奇数特殊正交群表征的内窥镜分类

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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