= Kac–Moody algebra
{wiki=Kac–Moody_algebra}
Kac–Moody algebras are a class of infinite-dimensional Lie algebras that generalize the concept of finite-dimensional semisimple Lie algebras. They are named after Victor G. Kac, who introduced them in the 1960s as a way to study certain symmetries in mathematical physics and representation theory. A Kac–Moody algebra is defined by a generalized Cartan matrix, which captures the relationships between the root system of the algebra.
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