Some applications of semitensor product of matrices in algebra
文献类型：期刊论文
| 作者 | Cheng, Daizhan |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2006-09-01 |
| 卷号 | 52期号:6-7页码:1045-1066 |
| 关键词 | semitensor product of matrices (Lie) algebra structure matrix |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2006.03.028 |
| 英文摘要 | 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. (c) 2006 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000243017700021 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3545]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cheng, Daizhan |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cheng, Daizhan. Some applications of semitensor product of matrices in algebra[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2006,52(6-7):1045-1066. |
| APA | Cheng, Daizhan.(2006).Some applications of semitensor product of matrices in algebra.COMPUTERS & MATHEMATICS WITH APPLICATIONS,52(6-7),1045-1066. |
| MLA | Cheng, Daizhan."Some applications of semitensor product of matrices in algebra".COMPUTERS & MATHEMATICS WITH APPLICATIONS 52.6-7(2006):1045-1066. |
入库方式： OAI收割
来源：数学与系统科学研究院
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