Fang Shi

collaborators

3 papers

math.RT2026

Almost multiplicity-one property of spherical varieties over finite fields

Fulin Chen, Fang Shi, Shaobin Tan

Let $H$ be a connected algebraic subgroup of a connected reductive group $G$ over a finite field $F_{q}$ such that $G / H$ is a $G$ -spherical variety, i.e., $G / H$ has an open d…

math.RT2026

Shalika Models for Finite General Linear and Unitary Groups

Fang Shi, Zhicheng Wang

We completely and explicitly classify the irreducible representations of finite general linear groups $GL_{2 n} (F_{q})$ and finite unitary groups ${\rm{U}}_{2\f…

math.RT2024

Periods of Deligne-Lusztig Characters associated to Spherical Varieties

Fang Shi

In this paper, we calculate the periods of Deligne-Lusztig characters $R_{T, χ}^{G}$ associated to $X^{F}$ , where $X = G / H$ for a connected spherical subgroup $H$ of $G$ . As an applicatio…