Special Unipotent Representations of Simple Linear Lie Groups of Type A  

作　　者：Dan BARBASCH Jia Jun MA Bin Yong SUN Chen Bo ZHU 

机构地区：[1]Department of Mathematics,Cornell University,Ithaca,NY 14853,USA [2]School of Mathematical Sciences,Xiamen University,Xiamen 361005,P.R.China [3]Department of Mathematics,Xiamen University Malaysia Campus,Sepang,Selangor Darul Ehsan,43900,Malaysia [4]Institute for Advanced Study in Mathematics&New Cornerstone Science Laboratory,Zhejiang University,Hangzhou 310058,P.R.China [5]Department of Mathematics,National University of Singapore,10 Lower Kent Ridge Road,Singapore 119076

出　　处：《Acta Mathematica Sinica,English Series》2024年第3期707-716,共10页数学学报（英文版）

基　　金：supported by NSF grant (Award Number 2000254);supported by the National Natural Science Foundation of China (Grant Nos. 11701364 and 11971305);Xiamen University Malaysia Research Fund (Grant No. XMUMRF/2022-C9/IMAT/0019);supported by National Key R&D Program of China (Grant Nos. 2022YFA1005300 and 2020YFA0712600);New Cornerstone Investigator Program;supported by MOE AcRF Tier 1 grant A-0004280-00-00;Provost’s Chair grant E-146-000-052-001 in NUS

摘　　要：Let G be a special linear group over the real,the complex or the quaternion,or a special unitary group.In this note,we determine all special unipotent representations of G in the sense of Arthur and Barbasch-Vogan,and show in particular that all of them are unitarizable.

关 键 词：Special unipotent representations unitary representations coherent continuation Weyl group representations 

分 类 号：O152.5[理学—数学]