229 citations · 740 across the 37 of their papers we have counts for
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Generalisation of affine Lie algebras on compact real manifolds
Rutwig Campoamor-Stursberg, Marc de Montigny, Michel Rausch de Traubenberg
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 co…
Vertex operator for generalised Kac--Moody algebras associated to the two-sphere and the two-torus
Rutwig Campoamor-Stursberg, Michel Rausch de Traubenberg
We pursue our study of generalised Kac-Moody and Virasoro algebras defined on compact homogeneous manifolds. Extending the well-known Vertex operator in the case of the two-torus o…
Fermion realisations of generalised Kac--Moody and Virasoro algebras associated to the two-sphere and the two-torus
Rutwig Campoamor-Stursberg, Michel Rausch de Traubenberg
Using the notion of extension of Kac-Moody algebras for higher dimensional compact manifolds recently introduced in [1], we show that for the two-torus $\mathbb S^1 \times \mathbb…