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Article
Publication date: 2 June 2022

Ryad Ghanam, Gerard Thompson and Narayana Bandara

This study aims to find all subalgebras up to conjugacy in the real simple Lie algebra so(3,1).

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Abstract

Purpose

This study aims to find all subalgebras up to conjugacy in the real simple Lie algebra so(3,1).

Design/methodology/approach

The authors use Lie Algebra techniques to find all inequivalent subalgebras of so(3,1) in all dimensions.

Findings

The authors find all subalgebras up to conjugacy in the real simple Lie algebra so(3,1).

Originality/value

This paper is an original research idea. It will be a main reference for many applications such as solving partial differential equations. If so(3,1) is part of the symmetry Lie algebra, then the subalgebras listed in this paper will be used to reduce the order of the partial differential equation (PDE) and produce non-equivalent solutions.

Details

Arab Journal of Mathematical Sciences, vol. 28 no. 2
Type: Research Article
ISSN: 1319-5166

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