Multiplicity one, local and global conjugacy  

作　　者：Song Wang 

机构地区：[1]Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [2]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Science China Mathematics》2020年第6期1029-1038,共10页中国科学：数学（英文版）

基　　金：National Natural Science Foundation of China (Grant No. A010102-11671380);One Hundred Talents Program at Chinese Academy of Sciences, National Basic Research Program of China (Grant No. 2013CB834202);National Science Foundation of USA (Grant No. DMS9729992)。

摘　　要：The issue of local and global conjugacy is closely related to the multiplicity one property in representation theory and the Langlands program. In this article we give first families of connected instances for SO2N where the multiplicity one fails in both aspects of representation theory and automorphic forms with certain assumptions on the Langlands functoriality.

关 键 词：multiplicity one l-adic Galois representation local conjugacy global conjugacy 

分 类 号：O152[理学—数学]