Chapter 16: The Killing Form: A Powerful Insight into Global Lie Group Topology and Abstract Group Structure

The Killing Form is named after Wilhelm Killing (1847 – 1923), thus explaining its otherwise startling (for English speakers) name. Riemannian geometry even has Killing Fields, i.e. vector fields whose flows conserve the metric for the Riemannian manifold. The Killing form is a homogeneous, billinear, symmetric binary real-valued form defined on a Lie algebra $\g$ […]