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Speh representations are relatively discrete
Representation Theory ( IF 0.7 ) Pub Date : 2020-10-27 , DOI: 10.1090/ert/550 Jerrod Manford Smith
Representation Theory ( IF 0.7 ) Pub Date : 2020-10-27 , DOI: 10.1090/ert/550 Jerrod Manford Smith
Abstract:Let 
be a 
-adic field of characteristic zero and odd residual characteristic. Let 
denote the symplectic group defined over 
, where 
. We prove that the Speh representations 
, where 
is a discrete series representation of 
, lie in the discrete spectrum of the 
-adic symmetric space 
.
中文翻译：
Speh表示形式相对离散
摘要：让特征为零和奇数剩余特征的adic场成为可能。让表示在上定义的辛群，其中。我们证明了Speh表示（是的离散序列表示）位于-adic对称空间的离散谱中。
更新日期：2020-10-28
be a -adic field of characteristic zero and odd residual characteristic. Let denote the symplectic group defined over , where . We prove that the Speh representations , where is a discrete series representation of , lie in the discrete spectrum of the -adic symmetric space . 中文翻译：
Speh表示形式相对离散
摘要：让特征为零和奇数剩余特征
的adic场成为可能。让表示在上定义的辛群，其中。我们证明了Speh表示（是的离散序列表示）位于-adic对称空间的离散谱中。 
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