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ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
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Research Article

Classification of Canonical Bases for (n−1)−dimensional Subspaces of n− Dimensional Vector Space

Uladzimir Shtukar*

Associate Professor, Math/Physics Department, North Carolina Central University, Durham

*Corresponding Author:
Uladzimir Shtukar
Associate Professor, Math/Physics Department
North Carolina Central University
1801 Fayetteville Street, Durham
NC 27707, USA
Tel: 919-597-0375
E-mail: [email protected]

Received Date: August 25, 2016; Accepted Date: September 21, 2016; Published Date: September 30, 2016

Citation: Shtukar U (2016) Classification of Canonical Bases for (n−1)−dimensional Subspaces of n−Dimensional Vector Space. J Generalized Lie Theory Appl 10:241. doi:10.4172/1736-4337.1000241

Copyright: © 2016 Shtukar U. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

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.

Keywords

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