Conformal pseudo-subriemannian fundamental graded Lie algebras of semisimple type

TL;DR

This paper introduces a new class of graded Lie algebras with conformal pseudo-subriemannian structures of semisimple type and provides a classification of these algebras and their prolongations.

Contribution

It defines conformal pseudo-subriemannian fundamental graded Lie algebras of semisimple type and classifies all such algebras and their prolongations.

Findings

Classification of conformal pseudo-subriemannian fundamental graded Lie algebras of semisimple type

Description of their prolongations

Framework for understanding their geometric structures

Abstract

We introduce the notion of a conformal pseudo-subriemannian fundamental graded Lie algebra of semisimple type. Moreover we give a classification of conformal pseudo-subriemannian fundamental graded Lie algebras of semisimple type and their prolongations.