3 papers
math.RA2026
On a new class of high-corank Kac-Moody algebras
Simon Beaudoin, Quentin Bonnefoy, Alessio Marrani +2
We present recursive constructions of several families of generalized Cartan matrices associated with Kac-Moody algebras, whose sizes and coranks grow exponentially. The constructi…
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…