MVW-extensions of real quaternionic classical groups

Yanan Lin, Binyong Sun, Shaobin Tan

Let $G$ be a real quaternionic classical group $\GL_n(\bH)$, $\Sp(p,q)$ or $\oO^*(2n)$. We define an extension $\breve{G}$ of $G$ with the following property: it contains $G$ as a s…