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| 摘要: |
| 本文研究了特征为素数p>2的有限维Special李超代数S(m,n;t)的中心扩张.通过计算从S(m,n;t)到S(m,n;t)*的斜外导子,得到二阶上同调群H2(S(m,n;t),F)是平凡的.应用此结果,可得S(m,n;t)的中心扩张是平凡的. |
| 关键词: Cartan型模李超代数 导子 斜导子 上同调群 |
| DOI： |
| 分类号:O152.5 |
| 基金项目:Supported by Scientific Research Fund of Heilongjiang Provincial Education Department (12521157). |
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| THE CENTRAL EXTENSION OF THE MODULAR LIE SUPERALGEBRA OF CARTAN TYPE S(m, n;t) |
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XIE Wen-juan,WEI Zhu
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| Abstract: |
| In this paper, we study the central extension of the finite-dimensional special Lie superalgebra S(m,n;t), where F is an algebracially closed field of prime characteristic p>2. By computing the skew outer derivations of S(m,n;t) to S(m,n;t)*, we obtain the second cohomology group H2(S(m,n;t), F) is trivial. As applications, we determine the central extension of S(m,n;t) is trivial. |
| Key words: modular Lie superalgebra of Cartan type derivation skew derivation cohomology group |
