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Additional
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 discovered them) 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.
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