How to prove that $\mathfrak{sl}(n,\Bbb C)$ is a simple Lie algebra for $n\ge 2$?
132653
How to show that $\mathfrak{sl}_n(\mathbb{R})$ and $\mathfrak{sl}_n(\mathbb{C})$ are simple?
29269
fundamental group of $GL^{+}_n(\mathbb{R})$
128603
Lie algebra and tangent space at the identity are isomorphic
23535
Describing the Lie algebra structure of a semi-direct product of Lie groups
111883
Representations of a product of Lie groups
114987
How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?
147399
Proof of "$L$ / Rad$L$ is semisimple for arbitrary Lie algebra L".
102084
How to show path-connectedness of $GL(n,\mathbb{C})$
105666
What's an easy way to show that $GL(n,\mathbb C)$ is connected?
65873
A proof for Atiyah-Macdonald Exercise I.21.iii
96770
Explicit isomorphism between the four dimensional orthogonal Lie algebra and the direct sum of special linear Lie algebras of dimension 3.
117737
Why is $\mathfrak{sl}(n)$ the algebra of traceless matrices?
72548
Lie group embeddings $SO(10) \supset SU(3) \times SU(2) \times U(1)?$
78263
Prove $GL_n(\Bbb{R})/SL_n(\Bbb{R}) \cong \Bbb{R}^\times$
37677
Radical of $\mathfrak{gl}_n$
158127
Quotient space of $\Bbb C^n$ obtained by action of $S_n$
86667
Is the 1-Dimensional Lie algebra Simple?