In the group algebra $\mathbb{C}[S_n]$ define an operator by declaring $$\sigma\mapsto sign(\sigma)\sigma \hskip5mm (\sigma\in S_n)$$ and extend it linearly to $\mathbb{C}[S_n]$. This is clearly isomorphism of vector space $\mathbb{C}[S_n]$ to itself.
It is an algebra isomorphism? If yes, is there specific name to it?
On the generators of the vector space, the product is obviously preserved by above map, so it seems that the map should be algebra homomorphism (hence isomorphism).