Scalar product on Lie algebra of compact Lie group
43303
Which Lie groups have Lie algebras admitting an Ad-invariant inner product?
131843
Cartan subalgebras of a semisimple Lie algebra
62832
What is the Killing form of $\mathfrak{gl}_{m}$?
60663
Let $\rho$ f.d. rep of a nilpotent Lie algebra such that $\rm{det} \rho(X) = 0$, $\forall X$. Then $\exists v \neq 0$: $\rho(X)v = 0, \forall X$.
75391
How to prove that a left-invariant metric on a Lie group is smooth?
33423
Decomposition of semisimple Lie algebra via its roots
112690
Lie Group Decomposition as Semidirect Product of Connected and Discrete Groups
54119
Product of $SU(2)$ representations
18893
$\varphi:G\to H$ is a Lie Group Homomorphism, then $\ker \varphi$ has Lie algebra $\ker D_e \varphi$
48524
Existence proof of the tensor product using the Adjoint functor theorem.
111814
Precise connection between complexification of $\mathfrak{su}(2)$, $\mathfrak{so}(1,3)$ and $\mathfrak{sl}(2, \mathbb{C})$
36826
Products of Differential Operators
89805
2-dimensional Lie subgroups of $SO(3)$
66471
Is trace of regular representation in Lie group a delta function?
41483
Proof relation between Levi-Civita symbol and Kronecker deltas in Group Theory
132653
How to show that $\mathfrak{sl}_n(\mathbb{R})$ and $\mathfrak{sl}_n(\mathbb{C})$ are simple?
82637
Does there exist a non-trivial, associative Lie algebra?