Canonical bases for subspaces of a vector space are introduced as a new effective method to analyze subalgebras of Lie algebras. This method generalizes well known Gauss-Jordan elimination method.
"Canonical Bases for Subspaces of a Vector Space, and 5-Dimensional Subalgebras of Lie Algebra of Lorentz Group." J. Gen. Lie Theory Appl. 10 (1) 1 - 6, 2016. https://doi.org/10.4172/1736-4337.1000243