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词汇 Reductive Lie algebra
分类 英语词汇 英语翻译词典
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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