Semi-invariants of 2-representations of quivers

TL;DR

This paper extends the Procesi-Rasmyslov Theorem to the algebra of semi-invariants for representations of any quiver with all dimension vector entries equal to 2, providing a new theoretical framework.

Contribution

It introduces a generalized version of the Procesi-Rasmyslov Theorem applicable to semi-invariants of 2-representations of arbitrary quivers.

Findings

Established a version of the Procesi-Rasmyslov Theorem for quivers with dimension vector (2,2,...,2)

Provided new insights into the structure of semi-invariants for these representations

Extended classical results to a broader class of quivers and dimension vectors

Abstract

In this work we obtain a version of the Procesi-Rasmyslov Theorem for the algebra of semi-invariants of representations of an arbitrary quiver with dimension vector (2,2,...,2).