Lie algebras of triangular polynomial derivations and an isomorphism criterion for their Lie factor algebras

TL;DR

This paper classifies ideals within Lie algebras of unitriangular polynomial derivations and establishes an isomorphism criterion for their Lie factor algebras, advancing understanding of their structural properties.

Contribution

It provides a complete classification of ideals and introduces a new criterion for isomorphism of Lie factor algebras in this context.

Findings

Classification of ideals in the Lie algebras of unitriangular polynomial derivations

An isomorphism criterion for Lie factor algebras

Enhanced understanding of the structural relationships between these algebras

Abstract

The ideals of the Lie algebras of unitriangular polynomial derivations are classified. An isomorphism criterion is given for the Lie factor algebras of the Lie algebras of unitriangular polynomial derivations.