The Weitzenb\"ock derivations and classical invariant theory. II. The symbolic method

TL;DR

This paper develops a symbolic method based on classical invariant theory to analyze the kernel of Weitzenböck derivations, providing a new approach to understanding their structure.

Contribution

It introduces a novel symbolic technique for representing elements in the kernel of Weitzenböck derivations, advancing the theoretical framework.

Findings

New symbolic method for kernel representation

Enhanced understanding of Weitzenböck derivations

Potential applications in invariant theory

Abstract

A method based on the symbolic methods of the classical invariant theory is developed for a representation of elements of kernel of Weitzenb\"ok derivations.