Counterexample for "the Lie algebra is commutative iff the Lie group is commutative"
118396
Non abelian Lie group with abelian Lie algebra
21057
Complex algebraic group is reductive $\iff$ it is the complexification of a compact Lie group?
96770
Explicit isomorphism between the four dimensional orthogonal Lie algebra and the direct sum of special linear Lie algebras of dimension 3.
18893
$\varphi:G\to H$ is a Lie Group Homomorphism, then $\ker \varphi$ has Lie algebra $\ker D_e \varphi$
87922
Computing the Lie bracket on the Lie group $GL(n, \mathbb{R})$
128428
Why is the set of commutators not a subgroup?
116955
Showing the existence of a certain kind of extension of a finitely generated algebra
43303
Which Lie groups have Lie algebras admitting an Ad-invariant inner product?
50236
Solvable Lie algebra with codimension 1 ideal
116159
Derivations on semisimple Lie algebra
122958
$R/I$ is commutative iff $rs-sr \in I$
111883
Representations of a product of Lie groups
86667
Is the 1-Dimensional Lie algebra Simple?
113925
Normal Subgroup Counterexample
105471
How to prove that if each element of group is inverse to itself then group commutative?
156521
Centre of Lie Algebra $sl_2(\mathbb{F})$
145809
Automorphism group of a lie algebra as a lie subgroup of $GL(\frak g)$