Genkai Zhang

collaborators

2 papers

math.RT2026

Fourier positivity for spherical functions I: split tori and spherical principal series

Michael BjÃ¶rklund, Dongwen Liu, Jun Yu +1

We prove Fourier positivity for spherical functions on a semisimple linear algebraic group $G$ over a local field restricted to its split tori $A$ for unitary principal series para…

math.RT2025

Principal series of quaternionic and real split exceptional Lie groups induced from Heisenberg parabolic subgroups

Genkai Zhang

Let $G / K$ be an irreducible quaternionic symmetric space of rank $4$ . We study the principal series representation $I ¨ _{I^} ½ = Ind_{P}^{G} (1 \otimes e^{I^} ½ \otimes 1)$ of $G$ induced fro…