| 摘要: |
| 本文研究了文献[1]中新的有限维Ω-型单模李超代数的结构问题.利用Ω-型模李超代数的偶部生成元集,将导子作用在其偶部生成元集上,获得了Ω-型模李超代数偶部到奇部的具有负Z-次数的导子. |
| 关键词: 模李超代数 生成元 导子 |
| DOI： |
| 分类号:O152.5 |
| 基金项目:国家自然科学基金资助(11126129);辽宁大学博士启动基金资助(2012002). |
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| ON THE MODULAR LIE SUPERALGEBRA OF Ω-TYPE |
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XU Xiao-ning, LU Ya-nan
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School of Mathematics, Liaoning University, Shenyang 110036, China
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| Abstract: |
| The constitutive property of the flnite-dimensional new simple modular Lie superalgebra of Ω-type in [1] is discussed. By using the generating set of the even part of modular Lie superalgebra of Ω-type, we obtain the derivations with negative Z-degrees of the even part into the odd part by means of acting derivations on its generating set of the even part. |
| Key words: modular Lie superalgebra generator derivation |
