About: Lie coalgebra

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In mathematics a Lie coalgebra is the dual structure to a Lie algebra. In finite dimensions, these are dual objects: the dual vector space to a Lie algebra naturally has the structure of a Lie coalgebra, and conversely.

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  • In mathematics a Lie coalgebra is the dual structure to a Lie algebra. In finite dimensions, these are dual objects: the dual vector space to a Lie algebra naturally has the structure of a Lie coalgebra, and conversely. (en)
  • 리 대수 이론에서, 리 쌍대대수(Lie雙對代數, 영어: Lie coalgebra)는 리 대수의 정의를 쌍대화하여 얻어지는 쌍대대수이다. (ko)
  • 数学中，李余代数（Lie coalgebra）是与李代数对偶的结构。 在有限维情形，它们是对偶的对象：李代数的对偶向量空间上自然有一个李余代数结构，反之亦然。 (zh)
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  • In mathematics a Lie coalgebra is the dual structure to a Lie algebra. In finite dimensions, these are dual objects: the dual vector space to a Lie algebra naturally has the structure of a Lie coalgebra, and conversely. (en)
  • 리 대수 이론에서, 리 쌍대대수(Lie雙對代數, 영어: Lie coalgebra)는 리 대수의 정의를 쌍대화하여 얻어지는 쌍대대수이다. (ko)
  • 数学中，李余代数（Lie coalgebra）是与李代数对偶的结构。 在有限维情形，它们是对偶的对象：李代数的对偶向量空间上自然有一个李余代数结构，反之亦然。 (zh)
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  • Lie coalgebra (en)
  • 리 쌍대대수 (ko)
  • 李余代数 (zh)
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