Methods for Parametrizing Varieties of Lie Algebras

TL;DR

This paper introduces a method to smoothly parametrize specific families of nilpotent Lie algebras, facilitating their classification and study.

Contribution

It presents a novel approach for parametrizing varieties of nilpotent Lie algebras, advancing understanding of their structure.

Findings

Provides explicit parametrization techniques

Enables classification of certain nilpotent Lie algebras

Facilitates further algebraic and geometric analysis

Abstract

We describe how to smoothly parametrize certain families of nilpotent Lie algebras.