alexa Abstract | Matrix Representation for Seven-Dimensional Nilpotent Lie Algebras
ISSN: 2090-0902

Journal of Physical Mathematics
Open Access

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Research Article Open Access

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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Author(s): Ghanam R, Basim Mustafa B, Mustafa MT and Thompson G

Keywords

Physical Mathematics, Axioms,Topology,Integration,Algebraic Geometry,Quantum Mechanics, mirror symmetry, Physical Mathematics, Axioms, Topology, Integration , Algebraic Geometry, Quantum Mechanics, mirror symmetry, Noether's theorem, Quantumelectrodynamics, Hamilton Mechanics, vector bundle, Riemannian Geometry, Theory of Mathematical Modeling, Fourier Analysis, Theoretical Physics, Analytical Geometry, Differential Equations, Complex Analysis.

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