Rational Jordan decomposition of bilinear forms
文献类型：期刊论文
| 作者 | Dokovic, DZ; Zhao, KM |
| 刊名 | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
 |
| 出版日期 | 2005-12-01 |
| 卷号 | 7期号:6页码:769-786 |
| 关键词 | bilinear form rational Jordan decomposition nilpotent orbit semi-simple orbit congruence class |
| ISSN号 | 0219-1997 |
| 英文摘要 | This is a continuation of our previous work on Jordan decomposition of bilinear forms over algebraically closed fields of characteristic 0. In this note, we study Jordan decomposition of bilinear forms over any field K-0 of characteristic 0. Let V-0 be an n-dimensional vector space over K-0. Denote by B-0 the space of bilinear forms f : V-0 x V-0 -> K-0. We say that f = g + h, where f, g, h epsilon B-0, is a rational Jordan decomposition of f if, after extending the field K-0 to an algebraic closure K, we obtain a Jordan decomposition over K. By using the Galois group of K/K-0, we prove the existence of rational Jordan decompositions and describe a method for constructing all such decompositions. Several illustrative examples of rational Jordan decompositions of bilinear forms are included. We also show how to classify the unimodular congruence classes of bilinear forms over an algebraically closed field of characteristic different from 2 and over the real field. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000234812200003 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1378]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, KM |
| 作者单位 | 1.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 2.Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada 3.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dokovic, DZ,Zhao, KM. Rational Jordan decomposition of bilinear forms[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2005,7(6):769-786. |
| APA | Dokovic, DZ,&Zhao, KM.(2005).Rational Jordan decomposition of bilinear forms.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,7(6),769-786. |
| MLA | Dokovic, DZ,et al."Rational Jordan decomposition of bilinear forms".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 7.6(2005):769-786. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。