New posts in lie-groups

Continuous homomorphisms of Lie groups are smooth

Lie Groups which are not Hausdorff

Are there two different ways to generalize the orthogonal group?

Is $\mathfrak{so}_{\mathbb{R}}(p,q)$ semisimple? [duplicate]

How does one define weights for a semisimple Lie group?

Is the complexification of $\mathfrak{sl}(n, \mathbb{C})$ itself?

Why restrict to complex Lie algebras?

Sample a random rotation in $n$ dimensions

The exponential map by one-parameter subgroup on linear Lie group

What is the relationship between the representations of ${\frak sl}(2;\Bbb C)$ when viewed as real Lie algebra or complex Lie algebra?

Conditions for a topological group to be a Lie group.

Radical of a quotient Lie algebra

How is the directional derivative used to determine the tangent map?

Proof that Lie group with finite centre is compact if and only if its Killing form is negative definite

The Gram-Schmidt process is a deformation retraction

$5$ dimensional space over $\mathbb{R}$

Is geodesic distance equivalent to "norm distance" in $SL_n(\mathbb{R})$?

Non-Abelian subgroups and invariants in a unitary group 2

Subgroups and invariants in a unitary group U(3)

Lie Group Structure on the 2-Sphere: does the following argument hold?