| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 472870 | Computers & Mathematics with Applications | 2006 | 22 Pages |
Abstract
A review on semitensor product (STP) of matrices is given. It is a generalization of the conventional matrix product for the case when the dimensions of the factor matrices do not satisfy the requirement. Using it, we investigate some structure-related properties of algebras. First, we consider when an algebra is a Lie algebra. The result reveals the topological structure of all finite-dimensional Lie algebras as the variety of a set of polynomial equations. Then we investigate the invertibility of algebras. Invertibility condition is expressed via STP. Finally, the tensor product of algebras is investigated.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
