期刊论文详细信息
JOURNAL OF NUMBER THEORY 卷:203
Fields of rationality of automorphic representations: The case of unitary groups
Article
Binder, John1 
[1] MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02139 USA
关键词: Automorphic representations;    Fields of rationality;    Unitary groups;    Plancherel equidistribution;   
DOI  :  10.1016/j.jnt.2017.07.001
来源: Elsevier
PDF
【 摘 要 】

This paper examines fields of rationality in families of cuspidal automorphic representations of unitary groups. Specifically, for a fixed A and a sufficiently large family a small proportion of representations pi is an element of F will satisfy [Q(pi) : Q] <= A. Like earlier work of Shin and Templier, the result depends on a Plancherel equidistribution result for the local components of representations in families. An innovation of our work is an upper bound on the number of discrete series GL(n)(L) representations with small field of rationality, counted with appropriate multiplicity, which in turn depends upon an asymptotic character expansion of Murnaghan and formal degree computations of Aubert and Plymen. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free   

【 预 览 】
附件列表
Files Size Format View
10_1016_j_jnt_2017_07_001.pdf 476KB PDF download
  文献评价指标  
  下载次数:0次 浏览次数:0次