Algebraic structures in FN associated to linear transformations Article

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Overview

abstract

• Given a linear transformation between finite-dimensional vector spaces T : W → V, we study the associative and Lie algebra structure that arise in Hom (V, W), the space of all linear transformations V → W. As a consequence, we obtain a lower bound for the number of non-isomorphic Lie algebra structures that FN can admit. © 2009 Elsevier Inc. All rights reserved.

authors

• Salgado González Gil

publication date

• 2009-01-01

funding provided via

• 04-02-K117-037, 37558-E, SEP-2003-C02-42508  Grant

published in

• Linear Algebra and Its Applications  Journal

Research

keywords

• Associative algebras; Lie algebras; Lie superalgebras Algebraic structures; Associative algebras; Dimensional vectors; Lie Algebra; Lie algebras; Lie superalgebras; Linear transformation; Lower bounds; Control theory; Linear algebra; Mathematical transformations

Identity

Digital Object Identifier (DOI)

• 10.1016/j.laa.2009.03.051

Additional Document Info

start page

• 991

end page

• 997

volume

• 431

issue

• 5-7