The moduli of representations of degree 2

Abstract

There are six types of $2$-dimensional representations in general. For any groups and any monoids, we can construct the moduli of $2$-dimensional representations for each type: the moduli of absolutely irreducible representations, representations with Borel mold, representations with semisimple mold, representations with unipotent mold, representations with unipotent mold over ${\mathbb{F}}_2$, and representations with scalar mold. We can also construct them for any associative algebras.