广义Witt代数$W(2, 1)$的投射不可分解模和Cartan不变理 |
| |
引用本文: | 李静,王惟嘉,蒋志洪.广义Witt代数$W(2, 1)$的投射不可分解模和Cartan不变理[J].数学学报,2008,51(5):933-946. |
| |
作者姓名: | 李静 王惟嘉 蒋志洪 |
| |
作者单位: | 辽宁工业大学;上海同济大学数学系;上海同济大学应用数学系 |
| |
摘 要: | 研究了特征为2的代数闭域上广义Witt代数$W(2,\mathbf{1})$的
投射不可分解模, 给出了特征标高度$ht\chi\leq
0$的所有投射不可分解模同构类的代表元和Cartan不变量.
并且进一步讨论了既约包络代数$u(W(2,\mathbf{1}),\chi)$ 的表示型.
|
关 键 词: | 既约包络代数 Cartan不变量 本原幂等元 投射不可分解模 |
收稿时间: | 2007-7-3 |
Projective Indecomposable Modules and Cartan Invariants of Generalized Witt Algebra $W(2,\mathbf{1})$ |
| |
Institution: | Department
of Mathematics and Physics, Liaoning University of Technology Department of Mathematics, Tongji University,
Shanghai 200092 Department of Mathematics, Tongji University,
Shanghai 200092 |
| |
Abstract: | In this note, all
projective indecomposable modules over generalized Witt algebra
$W(2,\mathbf{1})$ with character height $\leq 0$ in characteristic
2 are realized, and all related Cartan invariants are computed.
Furthermore, we discuss the representation type of the reduced
enveloping algebra $u(W(2,\mathbf{1}),\chi)$. |
| |
Keywords: | |
|
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
|