Transfer of Highest Weight Modules and Small Unipotent Representations

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发表日期：

2024年3月15日

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Hai An He,
Jing Song Huang,
Kayue Daniel Wong

摘要

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.