最高权重模块和小单能表示的转移

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2024-03-15 DOI:10.1007/s10114-024-3237-4

Hai An He, Jing Song Huang, Kayue Daniel Wong

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引用次数: 0

摘要

我们研究了 E6 型和 E7 型所有等阶实数形式的小特殊单能表征之间的转移。因此，我们可以用 Wallach 和 Zhu 的结果来验证这些模块的单元性。此外，这些模块的 K 谱也可以明确得到。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Transfer of Highest Weight Modules and Small Unipotent Representations

We study the transfer between small special unipotent representations for all equal rank real forms of type E₆ and E₇. As a consequence, one can verify these modules are unitarity using the results of Wallach and Zhu. Moreover, the K-spectra of these modules can be obtained explicitly.

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.