Base change for the Saito-Kurokawa representations of PGSp(4)
Base change for the Saito-Kurokawa representations of PGSp(4)
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PGSp(4) 的 Saito-Kurokawa 表示的基础变化
DOI：
10.1016/0022-314x(88)90004-2
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发表时间：
1988
影响因子：
0.7
通讯作者：
I. Piatetski
中科院分区：
文献类型：
--
作者：
J. Cogdell;I. Piatetski
本文分析了PGSp（4）的Saito-Kurokawa表示的基变换。Saito-Kurokawa表示是在Saito-Kurokawa对应与PGL（2）的像中出现的那些表示，并且分析是基于这种对应。构造了在Eisenstein级数空间中PGSp（4）的表示在基变换下成为尖点的例子。这种现象预计不会发生。
A base change for the Saito-Kurokawa representations ofPGSp(4) is analysed. The Saito-Kurokawa representations are those occurring in the image of the Saito-Kurokawa correspondence withPGL(2), and the analysis is based on this correspondence. Examples of representations ofPGSp(4) occurring in the space of Eisenstein series which become cuspidal under base change are constructed. Such a phenomenon was not expected to occur.