论文标题
Mirabolic子组对对称品种的作用
The action of a mirabolic subgroup on a symmetric variety
论文作者
论文摘要
令F为字符零的本地字段。令E为F的二次场延伸。我们表明,在GL(N,E)上有效的任何p不变的线性功能不可减少的不可还能的不可还原的平滑可允许的可允许的表达(2n,f)也是GL(N,E)iNvariant,其中P是GL(N,E)的mirabolic亚组。
Let F be a local field of character zero. Let E be a quadratic field extension of F. We show that any P-invariant linear functional on a GL(n,E)-distinguished irreducible smooth admissible representation of GL(2n,F) is also GL(n,E)-invariant where P is a mirabolic subgroup of GL(n,E).