Reductive Lie algebra

In mathematics, a Lie algebra is reductive if its adjoint representation is completely reducible, whence the name. More concretely, a Lie algebra is reductive if it is a direct sum of a semisimple Lie algebra and an abelian Lie algebra: $\mathfrak{g} = \mathfrak{s} \oplus \mathfrak{a};$ there are alternative characterizations, given below.

单词	Reductive Lie algebra
释义	Reductive Lie algebra 英语百科 Reductive Lie algebra In mathematics, a Lie algebra is reductive if its adjoint representation is completely reducible, whence the name. More concretely, a Lie algebra is reductive if it is a direct sum of a semisimple Lie algebra and an abelian Lie algebra: $\mathfrak{g} = \mathfrak{s} \oplus \mathfrak{a};$ there are alternative characterizations, given below.
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