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Ado's theorem : ウィキペディア英語版 | Ado's theorem In abstract algebra, Ado's theorem is a theorem characterizing finite-dimensional Lie algebras. ==Statement==
Ado's theorem states that every finite-dimensional Lie algebra ''L'' over a field ''K'' of characteristic zero can be viewed as a Lie algebra of square matrices under the commutator bracket. More precisely, the theorem states that ''L'' has a linear representation ρ over ''K'', on a finite-dimensional vector space ''V'', that is a faithful representation, making ''L'' isomorphic to a subalgebra of the endomorphisms of ''V''.
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「Ado's theorem」の詳細全文を読む
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