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In mathematics, a Carnot group is a simply connected nilpotent Lie group, together with a derivation of its Lie algebra such that the subspace with eigenvalue 1 generates the Lie algebra. Carnot groups have a Carnot–Carathéodory metric. They were introduced by Pansu (, ) and Mitchell ().

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  • Groupe de Carnot
  • Carnot group
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  • Un groupe de Carnot est un groupe de Lie réel, nilpotent et stratifié. On peut considérer les groupes de Carnot comme des « espaces vectoriels non commutatifs » (les espaces vectoriels sont les seuls groupes de Carnot commutatifs). L'exemple le plus simple d'un groupe de Carnot non trivial est le groupe de Heisenberg.
  • In mathematics, a Carnot group is a simply connected nilpotent Lie group, together with a derivation of its Lie algebra such that the subspace with eigenvalue 1 generates the Lie algebra. Carnot groups have a Carnot–Carathéodory metric. They were introduced by Pansu (, ) and Mitchell ().
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  • Un groupe de Carnot est un groupe de Lie réel, nilpotent et stratifié. On peut considérer les groupes de Carnot comme des « espaces vectoriels non commutatifs » (les espaces vectoriels sont les seuls groupes de Carnot commutatifs). L'exemple le plus simple d'un groupe de Carnot non trivial est le groupe de Heisenberg.
  • In mathematics, a Carnot group is a simply connected nilpotent Lie group, together with a derivation of its Lie algebra such that the subspace with eigenvalue 1 generates the Lie algebra. Carnot groups have a Carnot–Carathéodory metric. They were introduced by Pansu (, ) and Mitchell ().
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