Low degree cohomologies of congruence groups

作     者：Jian-Shu Li Binyong Sun 

作者机构：Institute for Advanced Study in MathematicsZhejiang UniversityHangzhou 310058 China Department of MathematicsHong Kong University of Science and TechnologyHong KongChina Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China School of Mathematical SciencesUniversity of Chinese Academy of SciencesBeijing 100049China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2019年第62卷第11期

页      面：2287-2308页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

基　　金：supported by Research Grants Council General Research Fund of Hong Kong Special Administrative Region (Grant No. 16303314) supported by National Natural Science Foundation of China (Grant Nos. 11688101, 11525105, 11621061 and 11531008) 

主　　题：cohomology congruence group automorphic form 

摘      要：We prove the vanishing of certain low degree cohomologies of some induced representations. As an application, we determine certain low degree cohomologies of congruence groups.