Translation principle for Dirac index
Translation principle for Dirac index
Let $G$ be a finite cover of a closed connected transpose-stable subgroup of ${\rm GL}(n,\Bbb{R})$ with complexified Lie algebra ${\frak g}$. Let $K$ be a maximal compact subgroup of $G$, and assume that $G$ and $K$ have equal rank. We prove a translation principle for the Dirac index of virtual …