Embeddings of representations

TL;DR

This paper establishes numerical criteria to determine when representations of finite dimensional algebras can be embedded into each other, providing a new tool for understanding their structure.

Contribution

It introduces specific numerical conditions that characterize the existence of embeddings between representations of finite dimensional algebras.

Findings

Derived explicit numerical criteria for embeddings

Provided a theoretical framework for representation embeddings

Enhanced understanding of algebra representation structures

Abstract

We derive "numerical" criteria for the existence of embeddings of representations of finite dimensional algebras.