We study the transfer between small special unipotent representations for all equal rank real forms of type E_(6) and E_(7). As a consequence, one can verify these modules are unitarity using the results of Wallach an...We study the transfer between small special unipotent representations for all equal rank real forms of type E_(6) and E_(7). 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.展开更多
基金supported by Natural Science Foundation of Shanghai (Grant No. 22ZR1422900)supported by the National Natural Science Foundation of China (Grant No. 11271460)+3 种基金Guangdong Province(Grant No. 2023A1515012186)Shenzhen City (Grant No. 2022373357)the Research Grants Council of HKSAR,China (Grant No. 16302521)supported by Shenzhen Science and Technology Innovation Committee (Grant No. 20220818094918001)
文摘We study the transfer between small special unipotent representations for all equal rank real forms of type E_(6) and E_(7). 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.
