Distinguished standard modules for ${\mathrm{GL}}_{2m}(\mathbb{C})/{\mathrm{GL}}_m(\mathbb{H})$

Alan Xuelun Hou, Tudor Popescu

We characterize the standard modules of $\GL_{2m}(\C)$ that are distinguished by $\GL_m(\HH)$. Let ${\delta }_1,\dots ,{\delta }_{2m}$ be characters of ${\mathbb{C}}^{\times }$. Assume that $S = δ_1 \t…