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| 摘要: |
| 本文研究了Witt型模李超代数W（2）到Kac模K（λ）的权导子空间问题.利用分类讨论及线性方程组求解的方法，获得了W（2）到K（λ）的权导子空间要么是零维要么是一维的结果，推广了李代数到其模的权导子空间的相应结果. |
| 关键词: Witt型模李超代数 Kac模 权导子 |
| DOI： |
| 分类号:O152.5 |
| 基金项目:国家自然科学基金资助（11701158）；黑龙江省自然科学基金资助（YQ2020A005）. |
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| WEIGHT-DERIVATION SPACE FROM W(2) TO KAC MODULE |
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LIU Shu-chang,WANG Shu-juan
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| Abstract: |
| This paper studies the weight-derivation space from the modular Lie superalgebra W (2) to Kac module K(λ). By using the method of classification discussion and linear equations, we obtain that the weight-derivations space from W (2) to K(λ) is either 0 dimensional or 1 dimensional, which generalizes the corresponding results on the weight-derivations space from Lie algebras to their modules. |
| Key words: modular Lie superalgebras of Witt type Kac modules weight-derivations |
