TY - JOUR AU - Campoamor-Stursberg, Rutwig AU - Montigny, Marc de AU - Traubenberg, Michel Rausch de PY - 2022 DO - 10.1016/j.geomphys.2022.104624 SN - 0393-0440 UR - https://hdl.handle.net/20.500.14352/72059 T2 - Journal of geometry and physics AB - A generalised notion of Kac-Moody algebra is defined using smooth maps from a compact real manifold to a finite-dimensional Lie group, by means of complete orthonormal bases for a Hermitian inner product on the manifold and a Fourier expansion. The... LA - eng PB - Elsevier KW - Centrally extended infinite dimensional Lie algebras KW - Peter-Weyl theorem and the labelling problem KW - Fourier expansion on compact manifolds and coset spaces TI - an overview of generalised Kac-Moody algebras on compact real mainfolds TY - journal article VL - 180 ER -