MVW-extensions of real quaternionic classical groups

Abstract

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 subgroup of index two, and for every $x\in G$, there is an element $\breve{g}\in \breve{G}\setminus G$ such that $\breve{g}x{\breve{g}}^{-1}=x^{-1}$. This is similar to Moeglin-Vigneras-Waldspurger's extensions of non-quaternionic classical groups.

References in corpus (1)

• Notes on MVW-extensions

Cited by in corpus (1)

• Conservation relations for local theta correspondence