Journal of Physical Mathematics

Matrix Representation for Seven-Dimensional Nilpotent Lie Algebras

Ghanam R, Basim Mustafa B, Mustafa MT, and Thompson G

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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.

Article information

Source
J. Phys. Math., Volume 7, Number 1 (2016), 8 pages.

Dates
First available in Project Euclid: 31 August 2017

Permanent link to this document
https://projecteuclid.org/euclid.jpm/1504144873

Digital Object Identifier
doi:10.4172/2090-0902.1000155

Keywords
Lie algebra Lie group representation nilpotent

Citation

R, Ghanam; Mustafa B, Basim; MT, Mustafa; G, Thompson. Matrix Representation for Seven-Dimensional Nilpotent Lie Algebras. J. Phys. Math. 7 (2016), no. 1, 8 pages. doi:10.4172/2090-0902.1000155. https://projecteuclid.org/euclid.jpm/1504144873


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