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

  title={An overview of generalised Kac-Moody algebras on compact real manifolds},
  author={Rutwig Campoamor-Stursberg and Marc de Montigny and Michel Rausch de Traubenberg},
  journal={Journal of Geometry and Physics},


We extend the notion of a Kac–Moody algebra defined on the S1 circle to super Kac–Moody algebras defined on M × GN, M being a smooth closed compact manifold of dimension greater than one, and GN the
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