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#lie's_theorem

Lie's theorem

In mathematics, specifically the theory of Lie algebras, Lie's theorem states that, over an algebraically closed field of characteristic zero, if :{\mathfrak {g}}\to {\mathfrak {gl}}(V)} is a finite-dimensional representation of a solvable Lie algebra, then there's a flag of invariant subspaces of with , meaning that for each and i.

Wed 18th

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Lie's theorem Lie's third theorem Sophus Lie Engel's theorem Lie–Kolchin theorem Cartan's theorem List of theorems Lie group Lie theory Commuting matrices

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