当前位置: X-MOL 学术J. reine angew. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Theta correspondence for p-adic dual pairs of type I
Journal für die reine und angewandte Mathematik ( IF 1.2 ) Pub Date : 2021-07-01 , DOI: 10.1515/crelle-2021-0006
Petar Bakić 1 , Marcela Hanzer 1
Affiliation  

We describe explicitly the Howe correspondence for the symplectic-orthogonal and unitary dual pairs over a nonarchimedean local field of characteristic zero. More specifically, for every irreducible admissible representation of these groups, we find its first occurrence index in the theta correspondence and we describe, in terms of their Langlands parameters, the small theta lifts on all levels.

中文翻译:

I 型 p-adic 双对的 Theta 对应关系

我们明确描述了特征为零的非阿基米德局部场上辛正交和酉对偶的 Howe 对应关系。更具体地说,对于这些群的每一个不可约的可容许表示,我们在 theta 对应中找到它的第一个出现指数,我们根据它们的 Langlands 参数描述了所有级别的小 theta 提升。
更新日期:2021-07-01
down
wechat
bug