Prove that $[L,Rad(L)] \subseteq N$ for finite-dimensional Lie algebra $L$
133046
Showing $[L,rad(L)]$ is nilpotent.
134840
Generators and relations for $\text{PSL}(2, \mathbb{F}_q)$
82637
Does there exist a non-trivial, associative Lie algebra?
86308
Yoneda-Lemma as generalization of Cayley`s theorem?
63124
Show that $ \lVert A \rVert_2^2 \leq \lVert A \rVert _1 \lVert A \rVert _ \infty $
15851
the converse of Schur lemma
15686
Product of a Lie ideal with a subalgebra
89089
Prove that there is a unique inner product on $V$
101229
Lie algebra of $\left(\begin{smallmatrix}a & b\\ & a^2\end{smallmatrix}\right )$ in $GL_2(\mathbb{R})$
72932
Center of Lie group and Lie algebra
99300
Prove if $W \subset V$ is a subspace such that $T(W)\subset W$, then $V/W$ is finite-dimensional.
152932
Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
51889
How to "find" this Lie algebra: proof that $\mathfrak{sl}$ is trace zero matrices
59803
Converse of Schur's Lemma in finite dimensional vector spaces
58135
Quotient group $SL(2,\mathbb{R})/SO(2,\mathbb{R})$
68717
Complete reducibility of a representation of a lie algebra
26958
Classification of 3-dimensional Lie Algebra