Subrepresentations of Kronecker representations
文献类型：期刊论文
| 作者 | Han, Y
|
| 刊名 | LINEAR ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 2005-06-01 |
| 卷号 | 402页码:150-164 |
| 关键词 | Kronecker representation subrepresentation Kronecker invariant |
| ISSN号 | 0024-3795 |
| DOI | 10.1016/j.laa.2004.12.015 |
| 英文摘要 | Translated into the language of representations of quivers, a challenge in matrix pencil theory is to find sufficient and necessary conditions for a Kronecker representation to be a subfactor of another Kronecker representation in terms of their Kronecker invariants. The problem is reduced to a numerical criterion for a Kronecker representation to be a subrepresentation of another Kronecker representation in terms of their Kronecker invariants. The key to the problem is the calculation of ranks of matrices over polynomial rings. For this, a generalization and specialization approach is introduced. This approach is applied to provide a numerical criterion for a preprojective (resp. regular, preinjective) Kronecker representation to be a subrepresentation of another preprojective (resp. regular, preinjective) Kronecker representation in terms of their Kronecker invariants. (c) 2005 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000229383100011 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1158]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Han, Y |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, Y. Subrepresentations of Kronecker representations[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2005,402:150-164. |
| APA | Han, Y.(2005).Subrepresentations of Kronecker representations.LINEAR ALGEBRA AND ITS APPLICATIONS,402,150-164. |
| MLA | Han, Y."Subrepresentations of Kronecker representations".LINEAR ALGEBRA AND ITS APPLICATIONS 402(2005):150-164. |
入库方式： OAI收割
来源：数学与系统科学研究院
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