English

Generalisation of affine Lie algebras on compact real manifolds

Mathematical Physics 2022-12-19 v1 High Energy Physics - Theory math.MP Representation Theory

Abstract

We report on recent work concerning a new type of generalised Kac-Moody algebras based on the spaces of differentiable mappings from compact manifolds or homogeneous spaces onto compact Lie groups.

Keywords

Cite

@article{arxiv.2212.08300,
  title  = {Generalisation of affine Lie algebras on compact real manifolds},
  author = {Rutwig Campoamor-Stursberg and Marc de Montigny and Michel Rausch de Traubenberg},
  journal= {arXiv preprint arXiv:2212.08300},
  year   = {2022}
}

Comments

Contribution to The 34th International Colloquium on Group Theoretical Methods in Physics