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math-ph2024
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}^…
math-ph2024
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…