: Astronomie: Kac-Moody algebra

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Kac-Moody algebra

In mathematics, a Kac–Moody algebra (named for Victor Kac and Robert Moody, who independently and simultaneously discovered them in 1968) is a Lie algebra, usually infinite-dimensional, that can be defined by generators and relations through a generalized Cartan matrix. These algebras form a generalization of finite-dimensional semisimple Lie algebras, and many properties related to the structure of a Lie algebra such as its root system, irreducible representations, and connection to flag manifolds have natural analogues in the Kac–Moody setting. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Kac%E2%80%93Moody_algebra)

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