Let $L= gl(n, \mathbb{C})$. Show that the killing form on $L$ is given by: $k(a,b) = 2nTr(ab) -2(Tr(a))(Tr(b))$
62832
What is the Killing form of $\mathfrak{gl}_{m}$?
86224
The root system of $sl(3,\mathbb C)$
101229
Lie algebra of $\left(\begin{smallmatrix}a & b\\ & a^2\end{smallmatrix}\right )$ in $GL_2(\mathbb{R})$
76100
Showing that $\left\langle a,b \mid abab^{-1}\right\rangle \cong \pi_1(K) \cong \left\langle c,d \mid c^2 d^2 \right\rangle$
78580
Is $SL_n(\mathbb{R})$ a normal subgroup in $GL_n(\mathbb{R})$?
133046
Showing $[L,rad(L)]$ is nilpotent.
102084
How to show path-connectedness of $GL(n,\mathbb{C})$
111056
Harmonic conjugate of $\ln|z|$ in $\mathbb C \setminus \{0\}$
14197
show that $\sum_{i=0}^l \dfrac{{l\choose i}}{{n\choose k + i}} = \dfrac{n+1}{(n-l+1) {n-l\choose k}}$
102284
$GL(n,\mathbb R)/SL(n,\mathbb R)$ is isomophic to $\mathbb R^\times$
134840
Generators and relations for $\text{PSL}(2, \mathbb{F}_q)$
51706
If $(k,l) = 1$, show that $(b_2k-b_1l, a_1l-a_2k) = 1$ for $a_1b_2-a_2b_1=1$
127198
What is $\mathbb{C}^{Aut(\mathbb{C}/\mathbb{Q})}$?
58135
Quotient group $SL(2,\mathbb{R})/SO(2,\mathbb{R})$
30637
Exponent of $GL(n,q)$.
69694
Classify orbits of conjugating action on $GL_2(\mathbb{C})$
121880
How to show that $|D_{2n}| = 2n$ via the presentation?