Very special sandwich algebras

TL;DR

This paper classifies a specific class of complex Lie algebras called very special sandwich algebras, characterized by a nilpotent radical with sandwich elements, expanding understanding of their structure.

Contribution

It provides a complete classification of all very special sandwich algebras, a particular subclass of complex Lie algebras with unique nilpotent radicals.

Findings

Complete classification of very special sandwich algebras

Identification of structural properties of sandwich algebras

Insights into the nilpotent radical's role in Lie algebra structure

Abstract

The goal of this paper is to investigate a class of algebras called sandwich algebras, which are certain complex Lie algebras with a nilpotent radical whose elements are sandwiches. We present a classification of all very special sandwich algebras.