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Canonical bases for subspaces of a vector space, and 5-dimensional subalgebras of Lie algebra of Lorentz group. (English) Zbl 1392.15004

Summary: 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.

MSC:

15A03 Vector spaces, linear dependence, rank, lineability
17B45 Lie algebras of linear algebraic groups
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Full Text: Euclid