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单词 LevisTheorem
释义

Levi’s theorem


Let 𝔤 be a complex Lie algebra, 𝔯 its radical. Then the extensionPlanetmathPlanetmathPlanetmath 0𝔯𝔤𝔤/𝔯0 is split, i.e., there exists a subalgebraPlanetmathPlanetmathPlanetmath 𝔥 of 𝔤 mapping isomorphically to 𝔤/𝔯 under the natural projectionMathworldPlanetmath.

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更新时间:2025/5/4 6:50:54