To show the group $Aut(V)$ of algebra automorphisms of a finite dimensional algebra $V$ is a Zariski closed subgroup of $GL(V )$.
110292
Automorphism group of finite $k$-algebra as an affine variety
40321
$\operatorname{Aut}(\mathbb Z_n)$ is isomorphic to $U_n$.
113671
Frobenius Automorphism as a linear map
36965
Automorphism of rational numbers
39866
Automorphism group of the quaternion group
121034
Follow-up to question: Aut(G) for G = Klein 4-group is isomorphic to $S_3$
136167
Prove that structure $(Q/{0}; =;*)$ has infinite number of automorphisms
128096
Let V denote the Klein 4-group. Show that $\text{Aut} (V)$ is isomorphic to $S_3$
18182
An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
102084
How to show path-connectedness of $GL(n,\mathbb{C})$
111049
Groups with given automorphism groups
121244
Homomorphisms and automorphisms on polynomial rings
12455
$|G|>2$ implies $G$ has non trivial automorphism
9140
Show $\operatorname{Aut}(C_2 \times C_2)$ is isomorphic to $S_3=D_6$
151705
$SL_n(\mathbb R)$ is a subgroup of kernel of $f\in$ Hom$(GL_n(\mathbb R), A)$, $A$ is an abelian group.
123610
How to show that the commutator subgroup is a normal subgroup
115014
Classification of automorphisms of projective space