Does the projection from a compact Lie group to its component group split?
112690
Lie Group Decomposition as Semidirect Product of Connected and Discrete Groups
27652
metric on the Euclidean Group
153426
Is the radical of a Lie algebra preserved by all of its derivations?
123595
Representations of Direct Sum of Lie Algebras
11015
Given a group $ G $, how many topological/Lie group structures does $ G $ have?
63098
Properly discontinuous actions and discrete groups in complete Riemannian manifolds.
145809
Automorphism group of a lie algebra as a lie subgroup of $GL(\frak g)$
87922
Computing the Lie bracket on the Lie group $GL(n, \mathbb{R})$
111883
Representations of a product of Lie groups
37635
Diffeomorphism group of the unit circle
39094
Lie bracket of vector fields on $\Bbb R^{n}$
114569
How do you find the Lie algebra of a Lie group (in practice)?
55810
Let $G$ be a Lie group. Show that there is a diffeomorphism $TG \cong G \times T_e G$.
97637
Showing that isotropy groups are submanifolds
156521
Centre of Lie Algebra $sl_2(\mathbb{F})$
95234
Quasi-components in compact space
28485
Commutativity of projection and rotation