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Continuum Kac–Moody Algebras

Continuum Kac–Moody Algebras

We introduce a new class of infinite-dimensional Lie algebras, which we refer to as continuum Kac-Moody algebras.Their construction is closely related to that of usual Kac-Moody algebras, but they feature a continuum root system with no simple roots.Their Cartan datum encodes the topology of a one-dimensional real space and can …