4 papers
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…