Canonical bases for (n-1)-dimensional subspaces of n-dimensional vector space are introduced and classified in the article. This result is very prospective to utilize canonical bases at all applications. For example, maximal subalgebras of Lie algebras can be found using them.
"Classification of Canonical Bases for (n−1)−dimensional Subspaces of n− Dimensional Vector Space." J. Gen. Lie Theory Appl. 10 (1) 1 - 4, 2016. https://doi.org/10.4172/1736-4337.1000241