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In mathematics, a Malcev Lie algebra, or Mal'tsev Lie algebra, is a generalization of a rational nilpotent Lie algebra, and Malcev groups are similar. Both were introduced by , based on the work of . According to a Malcev Lie algebra is a rational Lie algebra together with a complete, descending -vector space filtration , such that: * * * the associated graded Lie algebra is generated by elements of degree one. Malcev Lie algebras come up, e.g., in the theory of mixed Hodge structures. ==References== * * * 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Malcev Lie algebra」の詳細全文を読む スポンサード リンク
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