229 citations · 740 across the 37 of their papers we have counts for
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Kac-Moody and Virasoro algebras on the two-sphere and the two-torus
Rutwig Campoamor-Stursberg, Michel Rausch de Traubenberg
We particularise the construction of generalised Kac-Moody algebras associated to compact real manifolds to the case of the two-torus and the two-sphere ${\mathbb S}^…
An infinite-rank Lie algebra associated to SL and SL
Rutwig Campoamor-Stursberg, Alessio Marrani, Michel Rausch de Traubenberg
We construct a generalised notion of Kac-Moody algebras using smooth maps from the non-compact manifolds SL and SL to a fi…
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…
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 to a finite-dimensional Lie group, by means of complete orthonorma…
Unitary representations of three dimensional Lie groups revisited: An approach via harmonic functions
R. Campoamor-Stursberg, M. Rausch de Traubenberg
Harmonic functions of the three dimensional Lie groups defined on certain manifolds related to the Lie groups themselves and carrying all their unitary representations are explicit…
Parafermions, ternary algebras and their associated superspace
R. Campoamor-Stursberg, M. Rausch de Traubenberg
Parafermions of order two are shown to be the fundamental tool to construct ternary superspaces related to cubic extensions of the Poincaré algebra
Hopf algebras for ternary algebras
M. Goze, M. Rausch de Traubenberg
We construct an universal enveloping algebra associated to the ternary extension of Lie (super)algebras called Lie algebra of order three. A Poincaré-Birkhoff-Witt theorem is prove…