| AN EMBEDDING THEOREM BETWEEN SPECIAL LINEAR GROUPS OVER ANY FIELDS |
| |
| 作者姓名： | Zha Jianguo |
| |
| 作者单位： | Departmellt of Applied Mathematics，Tongji University，Shanghai 200092，China. |
| |
| 摘 要： | ＡＮＥＭＢＥＤＤＩＮＧＴＨＥＯＲＥＭＢＥＴＷＥＥＮＳＰＥＣＩＡＬＬＩＮＥＡＲＧＲＯＵＰＳＯＶＥＲＡＮＹＦＩＥＬＤＳ￥ＺＨＡＪＩＡＮＧＵＯ（ＤｅｐａｒｔｍｅｌｌｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＴｏｎｇｊｉＵｎｉｖｅｒｓｉｔｙ，Ｓｈａｎｇｈａ...
|
| 关 键 词： | 经典群论 同态 域论 特殊线性群 可除环 |
| 收稿时间： | 1993/5/31 0:00:00 |
AN EMBEDDING THEOREM BETWEEN SPECIAL LINEAR GROUPS OVER ANY FIELDS |
| |
| Zha Jianguo.AN EMBEDDING THEOREM BETWEEN SPECIAL LINEAR GROUPS OVER ANY FIELDS[J].Chinese Annals of Mathematics,Series B,1995,16(4):479-488. |
| |
| Authors: | Zha Jianguo |
| |
| Institution: | DepartmentofAppliedMathematics,TongjiUniversity,Shanghai200092,China |
| |
| Abstract: | Abstract homomorphisms between subgroups of algebraic groups were studied in detail by A.Borel, J.Tit.1] and B.Wei.feile.2] provided that the images of the homomorphisms are Zariski dense subsets and that the fields over which algebraic groups are defined are infinite. The purpose of this paper is to determine all embedding homomorphisms of SLn(k) into SLn(K) when k and K are any fields of the same characteristic, without assumption of Zariski density and infinitude of fields. The result in this paper generalizes a result of Chen Yu on homomorphisms of two dimensional linear groups3]. |
| |
| Keywords: | Classical groups Homomorphisms Field |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
