论文标题
在$ gl（n）$的双框架上，就块的亚组严格三角矩阵
On double cosets of groups $GL(n)$ with respect to subgroups of block strictly triangular matrices
论文作者
论文摘要
我们将相对于两个子组$ t _- $，$ t _- $，$ t _+$ of block block严格三角矩阵进行参数$ gl（n，\ bbbk）$的双库的空间。再加上，我们考虑了$ gl（n，\ bbb {c}）$的准常规表示，$ l^2 $ in $ t_-- \ gl（n，\ bbb {c}）$，观察到它允许它允许另一组symmetries，找到关节谱，并观察关节谱，并观察其乘积是乘法的。
We parametrize the space of double cosets of the group $GL(n,\Bbbk)$ with respect to two subgroups $T_-$, $T_+$ of block strictly triangular matrices. In Addendum, we consider the quasi-regular representation of $GL(n,\Bbb{C})$ in $L^2$ on $T_- \ GL(n,\Bbb{C})$, observe that it admits an additional group of symmetries, find the joint spectrum, and observe that it is multiplicity free.
