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