Transfer of Highest Weight Modules and Small Unipotent Representations  

作　　者：Hai An HE Jing Song HUANG Kayue Daniel WONG 

机构地区：[1]Department of Mathematics,College of Sciences,Shanghai University,Shanghai 200444,P.R.China [2]Newtouch Center for Mathematics of Shanghai University,Shanghai 200444,P.R.China [3]Mathematics Research Center,School of Science and Engineering,The Chinese University of Hong Kong,Shenzhen 518172,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第3期772-791,共20页数学学报（英文版）

基　　金：supported by Natural Science Foundation of Shanghai (Grant No. 22ZR1422900);supported by the National Natural Science Foundation of China (Grant No. 11271460);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)

摘　　要：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.

关 键 词：Unipotent representations Wallach representations Transfer of unitary modules 

分 类 号：O152.5[理学—数学]