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2016 Matrix Representation for Seven-Dimensional Nilpotent Lie Algebras
R. Ghanam, B. Basim Mustafa, G. Thompson
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J. Phys. Math. 7(1): 1-8 (2016). DOI: 10.4172/2090-0902.1000155


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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R. Ghanam. B. Basim Mustafa. G. Thompson. "Matrix Representation for Seven-Dimensional Nilpotent Lie Algebras." J. Phys. Math. 7 (1) 1 - 8, 2016.


Published: 2016
First available in Project Euclid: 31 August 2017

Digital Object Identifier: 10.4172/2090-0902.1000155

Keywords: Lie algebra , Lie group , nilpotent , representation

Rights: Copyright © 2016 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.7 • No. 1 • 2016
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