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...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.展开更多
基金supported by NSF grant (Award Number 2000254)supported by the National Natural Science Foundation of China (Grant Nos. 11701364 and 11971305)+4 种基金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 Programsupported by MOE AcRF Tier 1 grant A-0004280-00-00Provost’s Chair grant E-146-000-052-001 in NUS
文摘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.
