Symmetries and Invariant Differential Pairings

TL;DR

This paper explores the concept of invariant and conformally invariant differential pairings, providing examples, discussing their natural emergence, and outlining related open problems in the absence of a comprehensive theory.

Contribution

It introduces and motivates the study of invariant differential pairings, offering examples and highlighting open problems due to the lack of a general theory.

Findings

Presented examples of invariant differential pairings

Explained how these pairings naturally arise

Outlined open problems in the field

Abstract

The purpose of this article is to motivate the study of invariant, and especially conformally invariant, differential pairings. Since a general theory is lacking, this work merely presents some interesting examples of these pairings, explains how they naturally arise, and formulates various associated problems.