| Cartan型李代数W(n;m)的一类Borel子代数 |
| |
| 引用本文： | 董泉发.Cartan型李代数W(n;m)的一类Borel子代数[J].数学年刊A辑(中文版),2015,36(3):325-334. |
| |
| 作者姓名： | 董泉发 |
| |
| 作者单位： | 华东师范大学数学系, 上海 200241. |
| |
| 摘 要： | 构造了Cartan型李代数W(n;m)的一类Borel子代数φ(n;m),其中n是一个正整数,且m=(m_1,…,m_n)是一个n-元正整数数组.确定了φ(n;m)的导子代数.特别地,φ(n;1)是一个Cartan型完备阶化李代数,它不同于任何典型完备李代数.
|
| 关 键 词： | Cartan 型李代数 完备李代数 特征p Borel子代数 导子代数 |
A Borel Subalgebra of the Lie-Algebra of
Cartan Type W(n;m) |
| |
| DONG Quanfa.A Borel Subalgebra of the Lie-Algebra of
Cartan Type W(n;m)[J].Chinese Annals of Mathematics,2015,36(3):325-334. |
| |
| Authors: | DONG Quanfa |
| |
| Institution: | 1Department of Mathematics, East China Normal University, Shanghai 200241,
China. |
| |
| Abstract: | In this paper, a Borel subalgebra (n;m) of Lie algebra of Cartan type W(n;m)
is constructed, where n is a positive integer and m = (m1, · · · ,mn) is an n-tuple of positive
integers. The derivation algebras of (n;m) is determined. In particular, (n; 1) is a
complete graded Lie algebra of Cartan type, which is different from any complete Lie
algebra of classical type. |
| |
| Keywords: | Lie algebra of Cartan Type Complete Lie algebras Characteristic p Borel subalgebra Derivation algebra |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学年刊A辑(中文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊A辑(中文版)》下载免费的PDF全文 |
