Genkai Zhang

most citedCasimir energy of hyperbolic orbifolds with conical singularities

1 citations · 2 across the 4 of their papers we have counts for

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math.RT2026

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

Michael Björklund, 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.RT2023★ 1 cited

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 $π_{ν} = Ind_{P}^{G} (1 \otimes e^{ν} \otimes 1)$ of $G$ induced from t…