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In mathematics, a Poisson–Lie group is a Poisson manifold that is also a Lie group, with the group multiplication being compatible with the Poisson algebra structure on the manifold. The algebra of a Poisson–Lie group is a Lie bialgebra.

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  • Poisson–Lie group
  • 泊松李群
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  • In mathematics, a Poisson–Lie group is a Poisson manifold that is also a Lie group, with the group multiplication being compatible with the Poisson algebra structure on the manifold. The algebra of a Poisson–Lie group is a Lie bialgebra.
  • 泊松李群(Poisson-Lie group)是種幾何結構,也是李羣和泊松流形,而且兩種結構相容:它的李羣積 G x G --> G 是泊松映射,其中 GxG 是直積泊松結構。它是經典力學同埋泊松幾何學的有用例子,表示論都有研究它。 它的「無限細」版本就是李雙代數。
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  • In mathematics, a Poisson–Lie group is a Poisson manifold that is also a Lie group, with the group multiplication being compatible with the Poisson algebra structure on the manifold. The algebra of a Poisson–Lie group is a Lie bialgebra.
  • 泊松李群(Poisson-Lie group)是種幾何結構,也是李羣和泊松流形,而且兩種結構相容:它的李羣積 G x G --> G 是泊松映射,其中 GxG 是直積泊松結構。它是經典力學同埋泊松幾何學的有用例子,表示論都有研究它。 它的「無限細」版本就是李雙代數。
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