The moduli of representations with Borel mold

TL;DR

This paper constructs the moduli space of group and monoid representations that generate upper triangular subalgebras, providing a framework for understanding their structure up to inner automorphisms.

Contribution

It introduces a method to build moduli spaces for representations with Borel mold across all groups and monoids, extending previous work on representation theory.

Findings

Moduli spaces are constructed for representations with Borel mold.

The approach applies to any groups and monoids.

Provides a classification framework up to inner automorphisms.

Abstract

The author constructs the moduli of representations whose images generate the subalgebra of upper triangular matrices (up to inner automorphisms) of the full matrix ring for any groups and any monoids.