alexa Matrix Representation for Seven-Dimensional Nilpotent L
ISSN: 2090-0902

Journal of Physical Mathematics
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Research Article

Matrix Representation for Seven-Dimensional Nilpotent Lie Algebras

Ghanam R1*, Basim Mustafa B2, Mustafa MT3 and Thompson G4

1Department of Liberal Arts and Sciences, Virginia Commonwealth University in Qatar, Qatar

2Department of Mathematics, An-Najah National University, Palestine

3Department of Mathematics, Statistics and Physics, Qatar University, Qatar

4Department of Mathematics, University of Toledo, USA

*Corresponding Author:
Ghanam R
Department of Liberal Arts and Sciences
Virginia Commonwealth University in Qatar, Qatar
Tel: +974 4402 0795
E-mail: [email protected]

Received Date: September 15, 2015 Accepted Date: January 12, 2016 Published Date: January 30, 2016

Citation: Ghanam R, Basim Mustafa B, Mustafa MT, Thompson G (2016) Matrix Representation for Seven-Dimensional Nilpotent Lie Algebras. J Phys Math 7:155. doi:10.4172/2090-0902.1000155

Copyright: © 2016 Ghanam R, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 

Abstract

This paper is concerned with finding linear representations for seven-dimensional real, indecomposable nilpotent Lie algebras. We consider the first 39 algebras presented in Gong’s classification which was based on the upper central series dimensions. For each algebra, we give a corresponding matrix Lie group, a representation of the Lie algebra in terms of left-invariant vector field and left-invariant one forms.

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