An overview of generalised Kac-Moody algebras on compact real manifolds

Rutwig Campoamor-Stursberg, Marc de Montigny, Michel Rausch de Traubenberg

A generalised notion of Kac-Moody algebra is defined using smooth maps from a compact real manifold $\mathcal{M}$ to a finite-dimensional Lie group, by means of complete orthonorma…