Separating invariants for arbitrary linear actions of the additive group

TL;DR

This paper provides an explicit finite separating set for invariants under any linear action of the additive group over a field of characteristic zero, advancing understanding of invariant rings.

Contribution

It offers a new explicit description of finite separating sets for invariants of arbitrary additive group actions in characteristic zero.

Findings

Explicit finite separating set constructed

Applicable to any linear additive group action

Enhances computational approaches in invariant theory

Abstract

We consider an arbitrary representation of the additive group over a field of characteristic zero and give an explicit description of a finite separating set in the corresponding ring of invariants.