论文标题
由SPEH表示诱发的符号或元容器组的残留Eisenstein系列的顶级傅立叶系数
Top Fourier coefficients of residual Eisenstein series on symplectic or metaplectic groups induced from Speh representations
论文作者
论文摘要
我们考虑艾森斯坦系列的右半平面，符号群或其双层盖在SPEH表示诱导的双盖上的残基。我们表明，对于每个这样的极点，都有一个唯一的最大nilpotent轨道，该轨道附着在相应的残留表示所接受的傅里叶系数上。在每种情况下，我们都会发现这个轨道。
We consider the residues at the poles in the right half plane of Eisenstein series, on symplectic groups, or their double covers, induced from Speh representations. We show that for each such pole, there is a unique maximal nilpotent orbit, attached to Fourier coefficients admitted by the corresponding residual representation. We find this orbit in each case.
