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单词 Real Lie group
释义

Real Lie group

英语百科

Lie group

The circle of center 0 and radius 1 in the complex plane is a Lie group with complex multiplication.

In mathematics, a Lie group /ˈl/ is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure. Lie groups are named after Sophus Lie, who laid the foundations of the theory of continuous transformation groups. The term groupes de Lie first appeared in French in 1893 in the thesis of Lie’s student Arthur Tresse, page 3.

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更新时间:2025/6/19 0:46:51