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Center of $\mathfrak{sl}(n,F)$

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Lie algebra of dimension $3$ and $L=[L,L]$ must be simple

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Inner automorphism of $\mathfrak{sl}(2,k)$, $\operatorname{char}(k)=0$ and adjoint action

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$\mathfrak{sl}(3,F)$ is simple

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What is the main use of Lie brackets in the Lie algebra of a Lie group?

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Irreducible representation and reductive Lie algebra

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Centre of a connected Lie group.

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412
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Automorphism in the special linear algebra $\mathfrak{sl}_2(F)$

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#linear-algebra #lie-algebras
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Solvability theorems

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385
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$x$ is a nilpotent endomorphism implies $\operatorname{ad}x$ nilpotent

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How that the Lie algebra of the normalizer of a Lie group equal the normalizer of the Lie algebra

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Cartan subalgebra

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716
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Ideal defining the nilpotent cone of $\mathfrak{gl}_n(k)$

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#abstract-algebra #algebraic-geometry #commutative-algebra #lie-algebras
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Could you recommend some books on Lie algebra？

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#reference-request #lie-algebras
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Problem with the definition of simple Lie algebra

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#lie-algebras

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