| 王颂,张庆成,魏竹,王莹.李Poisson超代数的泛中心扩张[J].数学年刊A辑,2012,33(3):311~322 |
| 李Poisson超代数的泛中心扩张 |
| The Universal Central Extensions of Lie Poisson Superalgebras |
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| DOI： |
| 中文关键词: 李Poisson超代数 中心扩张 泛中心扩张 |
| 英文关键词:Lie Poisson superalgebra, Central extension, Universal central
extension |
| 基金项目:国家自然科学基金，吉林省教育厅"十一五"课题 |
| Author Name | Affiliation | E-mail | | WANG Song | School ofMathematics and Statistics, Northeast Normal University, Changchun
130024, china | wangs844@nenu.edu.cn | | ZHANG Qingcheng | School ofMathematics and Statistics, Northeast Normal University, Changchun
130024, china | zhangqc569@nenu.edu.cn | | WEI Zhu | School ofMathematics and Statistics, Northeast Normal University, Changchun
130024, china | weiz986@nenu.edu.cn | | WANG Ying | School ofMathematics and Statistics, Northeast Normal University, Changchun
130024, china | wangy401@nenu.edu.cn |
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| 中文摘要: |
| 研究了李Poisson超代数的泛中心扩张问题.通过构造其泛中心扩张,得到了其存在泛覆盖的充要条件是李Poisson超代数是完全的,并对李Poisson超代数的自同构群及导子的提升给出了结果. |
| 英文摘要: |
| This paper is devoted to studying the universal central extensions of Lie Pois-
son superalgebras. The authors develop the general theory of universal central extensions,
obtaining that a Lie Poisson superalgebra has a universal central extension if and only if it
is perfect. The authors also give results on the lifting of automorphisms and derivations of
Lie Poisson superalgebras. |
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