On proving the surjectivity of the exponential map for compact Lie groups using properties of their Lie algebras
116750
On surjectivity of exponential map for Lie groups
66471
Is trace of regular representation in Lie group a delta function?
51889
How to "find" this Lie algebra: proof that $\mathfrak{sl}$ is trace zero matrices
9565
Is there an easy way to show which spheres can be Lie groups?
87922
Computing the Lie bracket on the Lie group $GL(n, \mathbb{R})$
121914
Unitary representations of the diffeomorphism group in curved spacetime
114626
Lie Algebra of U(N) and SO(N)
37635
Diffeomorphism group of the unit circle
34700
Proving that the matrix exponential map is surjective onto the general linear group
39094
Lie bracket of vector fields on $\Bbb R^{n}$
55810
Let $G$ be a Lie group. Show that there is a diffeomorphism $TG \cong G \times T_e G$.
107682
Show that if the Riesz map is surjective on $H$, then $H$ is a Hilbert space
12104
How to prove this result involving the quotient maps and connectedness?
115414
Lie Algebra of $SL_n(\mathbb H)$
68014
Prove that $\mathfrak{su}(2)$ is not isomorphic to $\mathfrak{sl}(2,\mathbb R)$
112690
Lie Group Decomposition as Semidirect Product of Connected and Discrete Groups
123595
Representations of Direct Sum of Lie Algebras