2 citations · 3 across the 3 of their papers we have counts for
8 papers
Rankin-Selberg integrals for principal series representations of GL(n)
Dongwen Liu, Feng Su, Binyong Sun
We prove that the local Rankin--Selberg integrals for principal series representations of the general linear groups agree with certain simple integrals over the Rankin--Selberg sub…
On the Gan-Gross-Prasad problem for finite unitary groups
Dongwen Liu, Zhicheng Wang
In this paper we study the Gan-Gross-Prasad problem for unitary groups over finite fields. Our results provide complete answers for unipotent representations, and we obtain the exp…
Descents of unipotent cuspidal representations of finite classical groups
Dongwen Liu, Zhicheng Wang
Inspired by the Gan-Gross-Prasad conjecture and the descent problem for classical groups, in this paper we study the descents of unipotent cuspidal representations of orthogonal an…
Descents of unipotent representations of finite unitary groups
Dongwen Liu, Zhicheng Wang
Inspired by the Gan-Gross-Prasad conjecture and the descent problem for classical groups, in this paper we study the descents of unipotent representations of unitary groups over fi…
Remarks on the theta correspondence over finite fields
Dongwen Liu, Zhicheng Wang
S.-Y. Pan decomposes the uniform projection of the Weil representation of a finite symplectic-odd orthogonal dual pair, in terms of Deligne-Lusztig virtual characters, assuming tha…
LCA(2), Weil index, and product formula
Dongwen Liu, Yongchang Zhu
In this paper we study the category LCA(2) of certain non-locally compact abelian topological groups, and extend the notion of Weil index. As applications we deduce some product fo…