GL_n 尖表示的外平方 gamma 因子：有限域类比与零层表示
表示论
2020-11-05 v2 数论
摘要
我们遵循 Jacquet-Shalika、Matringe 以及 Cogdell-Matringe 的工作，为 的不可约尖表示定义外平方 gamma 因子。这些外平方 gamma 因子用 Bessel 函数表示，或用与尖表示相关联的正则特征标表示。我们还通过零层表示，将有限域上的外平方 gamma 因子与局部域上的相应因子联系起来。
引用
@article{arxiv.1807.04816,
title = {Exterior square gamma factors for cuspidal representations of $\mathrm{GL}_n$: finite field analogs and level zero representations},
author = {Rongqing Ye and Elad Zelingher},
journal= {arXiv preprint arXiv:1807.04816},
year = {2020}
}
备注
42 pages. Comments are welcome. Changes from v1: This version contains all changes that were made for the Israel Journal of Mathematics submission. The main difference between the arXiv version and the Israel Journal of Mathematics version is that the arXiv version contains proofs and details for the odd case, and also contains Section 2.5