Article ID Journal Published Year Pages File Type
4602479 Linear Algebra and its Applications 2009 7 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory