If $F$ and $G$ are adjoint functors, why are $\operatorname{Nat}(G,G)\simeq\operatorname{Nat}(F,F)$ as algebras?
42941
Pair of adjoint functors and showing that two certain maps are inverses
40321
$\operatorname{Aut}(\mathbb Z_n)$ is isomorphic to $U_n$.
141714
Existence of a functor $\mathsf{Sets} \to \mathsf{Groups}$ that admits a left adjoint
50130
$\operatorname{Aut}(V)$ is isomorphic to $S_3$
146690
Basis for adjoint representation of $sl(2,F)$
158327
#define f(g,g2) g##g2
55778
Group theoretic meaning of natural isomorphisms between certain functors
71961
Is abstract algebra (mostly?) restricted to $2$-ary operators?
118310
How to find $\operatorname{Gal}(S/\mathbb{Q})$
90475
Coordinate-free proof of $\operatorname{Tr}(AB)=\operatorname{Tr}(BA)$?
7890
Prove the map $\Phi:G\to\operatorname{Aut}G$ with $g\mapsto (x\mapsto g^{-1}xg)$ is an homomorphism.
103427
When is $\operatorname{Hom}_A(M,N)$ finitely generated?
35714
Adjoint pairs, triplets and quadruplets
129732
What is $\operatorname{Aut}(\mathbb{Z}_2\oplus \mathbb{Z}_2)$?
117131
Canonical Isomorphism Between $\mathbf{V}$ and $(\mathbf{V}^*)^*$
11509
Relationship between $\operatorname{ord}(ab), \operatorname{ord}(a)$, and $\operatorname{ord}(b)$
73513
UMP of product functor