Semisimple Lie algebras with invariant inner-products give compact Lie groups
43303
Which Lie groups have Lie algebras admitting an Ad-invariant inner product?
112690
Lie Group Decomposition as Semidirect Product of Connected and Discrete Groups
145809
Automorphism group of a lie algebra as a lie subgroup of $GL(\frak g)$
39657
Strictly Upper Triangular $n\times n$ Matrices form a Nilpotent Lie Algebra over $\mathbb{C}$ for $n\geq 2$
6177
Do disconnected complex lie groups exist?
77722
Lie algebra of affine linear maps
114510
Inner Product Spaces
131843
Cartan subalgebras of a semisimple Lie algebra
18893
$\varphi:G\to H$ is a Lie Group Homomorphism, then $\ker \varphi$ has Lie algebra $\ker D_e \varphi$
120529
Relations between diffeomorphism symmetry theories and invariant $SU(N), N \rightarrow \infty$ theories
136791
Associative Lie algebra
51889
How to "find" this Lie algebra: proof that $\mathfrak{sl}$ is trace zero matrices
84677
An Explicit Isomorphism Between the Three Dimensional Orthogonal Lie Algebra and the Special Linear Lie Algebra of Dimension $3$
151251
A simple algebra that is not semisimple
121257
Image of Homomorphism of Lie groups
125980
Isomorphic Lie Algebra $so(4)$ and $su(2) \times su(2)$
24131
How to visualise the derived series of the Lie algebra $\mathfrak{u}(n,\mathbb{C})$?