A. Hou

collaborators

2 papers

math.RT2026

Distinguished standard modules for $GL_{2 m} (C) / GL_{m} (H)$

Alan Xuelun Hou, Tudor Popescu

We characterize the standard modules of $\GL_{2m}(\C)$ that are distinguished by $\GL_m(\HH)$. Let $δ_{1}, \dots, δ_{2 m}$ be characters of $C^{\times}$ . Assume that $S = δ_1 \t…

math.NT2026

Fourier Coefficients of the Degenerate Eisenstein Series on Symplectic Groups

Alan Xuelun Hou, Yusheng Lei

We study degenerate Eisenstein series on symplectic groups and construct a new automorphic descent. We show that a certain Fourier coefficient, after restriction to a smaller sympl…

Distinguished standard modules for GL2m​(C)/GLm​(H)

Fourier Coefficients of the Degenerate Eisenstein Series on Symplectic Groups

Distinguished standard modules for $GL_{2 m} (C) / GL_{m} (H)$