Characteristic cycles of discrete series for -rank one groups
Characteristic cycles of discrete series for -rank one groups
复制标题
阶一组离散序列的特征周期
DOI：
10.1090/s0002-9947-1994-1145961-2
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发表时间：
1994
影响因子：
1.3
通讯作者：
Jen
中科院分区：
文献类型：
--
作者：
Jen
我们确定连通的实秩为1的线性群的离散序列表示的特征圈。计算是通过矩映射进行的；我们逐例确定它们的纤维以及相关的上同调。离散序列的重数，根据它们的哈里什 - 钱德拉参数，由递归公式给出；对于A类和B类群，得到了封闭公式。
We determine the characteristic cycles of the discrete series representations for connected R-rank one linear groups. The computation is made through the moment maps; we determine their fibers and the cohomology in question case by case. The multiplicity of the discrete series, in terms of their Harish-Chandra parameters, is given by recursive formulae; for groups of type A and B closed formulae are obtained.