4 papers · 1 filter
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 and finite unitary groups ${\rm{U}}_{2\f…
Rational wavefront sets and the descent method for finite classical groups
Zhicheng Wang
Let \(\mathbbm{k}\) be a finite field of sufficiently large odd characteristic, let \(F\) be the Frobenius map, and let \(G\) be a symplectic or orthogonal group defined over \(\ma…
Wavefront sets and descent method for finite unitary groups
Zhifeng Peng, Zhicheng Wang
Let be a connected reductive algebraic group defined over a finite field . In the 1980s, Kawanaka introduced the generalized Gelfand-Graev representations (GGGRs…
Wavefront sets and descent method for finite symplectic groups
Zhifeng Peng, Zhicheng Wang
In \cite{JZ1}, D. Jiang and L. Zhang proposed a conjecture which related the wavefront sets and the descent method in the local fields case. Recently, in \cite{JLZ}, they and D. Li…