Real homogeneous algebras as truncated division algebras and their automorphism groups
文献类型：期刊论文
| 作者 | Dokovic, DZ; Zhao, KM |
| 刊名 | ALGEBRA COLLOQUIUM
 |
| 出版日期 | 2004-03-01 |
| 卷号 | 11期号:1页码:11-20 |
| 关键词 | real division algebras quaternions octonions homogeneous algebras |
| ISSN号 | 1005-3867 |
| 英文摘要 | There are only three nontrivial real homogeneous algebras (their dimensions are 3, 6 and 7). We describe the automorphism groups of the 6- and 7-dimensional real homogeneous algebras and show that the 6-dimensional algebra (just as the other two) is obtained from a real division algebra by a simple procedure known as truncation. By reversing the procedure of truncation, we introduce the concept of enlargement of a real algebra and classify all enlargements of the three real homogeneous algebras. This leads to an interesting 8-parameter family of 8-dimensional real division algebras. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000189376600003 |
| 出版者 | SPRINGER-VERLAG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19444]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Dokovic, DZ |
| 作者单位 | 1.Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 3.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada |
| 推荐引用方式 GB/T 7714 | Dokovic, DZ,Zhao, KM. Real homogeneous algebras as truncated division algebras and their automorphism groups[J]. ALGEBRA COLLOQUIUM,2004,11(1):11-20. |
| APA | Dokovic, DZ,&Zhao, KM.(2004).Real homogeneous algebras as truncated division algebras and their automorphism groups.ALGEBRA COLLOQUIUM,11(1),11-20. |
| MLA | Dokovic, DZ,et al."Real homogeneous algebras as truncated division algebras and their automorphism groups".ALGEBRA COLLOQUIUM 11.1(2004):11-20. |
入库方式： OAI收割
来源：数学与系统科学研究院
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