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20192021
most citedRemarks on the theta correspondence over finite fields

7 citations · 15 across the 6 of their papers we have counts for

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6 papers

math.RT2021

Lusztig correspondence and the Gan-Gross-Prasad problem

Zhicheng Wang

The Gan-Gross-Prasad problem is to describe the restriction of representations of a classical group to smaller groups of the same kind. In this paper, we solved the Gan-Gro…

math.RT2020★ 1 cited

On the Gan-Gross-Prasad problem for finite classical groups

Zhicheng Wang

In this paper we study the Gan-Gross-Prasad problem for finite classical groups. Our results provide complete answers for unipotent representations, and we obtain the explicit bran…

math.RT2019★ 3 cited

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…

math.RT2019★ 3 cited

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…

math.RT2019★ 1 cited

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…

math.RT2019★ 7 cited

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…