| 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,2015,36(3):325~334 |
| Cartan~型李代数W(n;m)的一类Borel子代数 |
| A Borel Subalgebra of the Lie-Algebra ofCartan Type W(n;m) |
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| DOI： |
| 中文关键词: Cartan 型李代数, 完备李代数,
特征p,Borel子代数, 导子代数 |
| 英文关键词:Lie algebra of Cartan Type, Complete Lie algebras, Characteristic p,
Borel subalgebra, Derivation algebra. |
| 基金项目: |
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| 中文摘要: |
| 构造了~Cartan~型李代数$W(n;\mathbf{m})$的
一类~Borel~子代数$\Phi(n;\mathbf{m}),$其中$n$是一个正整数, 且$\mathbf{m}=(m_{1},\cdots,m_{n})$是一个$n$-\!元正整数数组.
确定了$\Phi(n;\mathbf{m})$的导子代数. 特别地,
$\Phi(n;\mathbf{1})$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. |
| 英文摘要: |
| 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. |
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