Semi-simple Lie algebra $L$ coincides with its derived algebra $L'$
68001
Semisimple Lie algebras are perfect.
145809
Automorphism group of a lie algebra as a lie subgroup of $GL(\frak g)$
118396
Non abelian Lie group with abelian Lie algebra
39094
Lie bracket of vector fields on $\Bbb R^{n}$
136791
Associative Lie algebra
147399
Proof of "$L$ / Rad$L$ is semisimple for arbitrary Lie algebra L".
18687
First and second homotopy groups of a connected Lie group
72548
Lie group embeddings $SO(10) \supset SU(3) \times SU(2) \times U(1)?$
62832
What is the Killing form of $\mathfrak{gl}_{m}$?
24131
How to visualise the derived series of the Lie algebra $\mathfrak{u}(n,\mathbb{C})$?
8456
Prove that $SL(2,\mathbb{R})$ acts transitively on the upper half plane
137761
Why are the fundamental and anti-fundamental representation in $\text{SL}(2,\mathbb{C})$ not equivalent?
95686
$Lie(G \times H)\cong Lie(G)\oplus Lie(H)$
13292
Which of $\{J_0,J_1,J_2\}$ and $\{J_0,J_+,J_-\}$ is a generator for the Lie algebra $\mathfrak{su}(2)$?
27056
$ gl(2,\mathbb C) \cong sl(2,\mathbb C) \oplus \mathbb C $
146690
Basis for adjoint representation of $sl(2,F)$
115120
Finite dimensional $C^*$-algebras