On complexity of representations of quivers

TL;DR

This paper demonstrates that determining whether a representation of a quiver over a finite field is absolutely indecomposable can be done efficiently in polynomial time.

Contribution

It introduces a polynomial-time algorithm for checking absolute indecomposability of quiver representations over finite fields.

Findings

Polynomial-time check for absolute indecomposability

Efficient algorithm for quiver representation analysis

Advances understanding of quiver representation complexity

Abstract

It is shown that, given a representation of a quiver over a finite field, one can check in polynomial time whether it is absolutely indecomposable.