(Usual) affine schemes

In Part I of this talk, we have learned that Weyl algebras have a lot of finite dimensional representations if the characteristic of the base field is non zero. We would like to formulate this in terms of schemes.

Before we do this, let us review definitions and preliminaries of usual (that means, commutative) affine schemes. We do this in our way. That means, by focusing on representations, especially on irreducible ones.