| W(2)到Kac模的0阶上同调 |
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| 引用本文： | 丁亚洲,王淑娟.W(2)到Kac模的0阶上同调[J].河北大学学报(自然科学版),2022,42(6):565. |
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| 作者姓名： | 丁亚洲 王淑娟 |
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| 基金项目： | 国家自然科学基金资助项目(12061029);黑龙江省自然科学基金资助项目(YQ2020A005) |
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| 摘 要： | 确定了特征p≥3的域上Witt型模李超代数W(2)到所有限制以及非限制Kac模KS(λ)的0阶上同调.得出以下结论:当S=0,λ=(0,2)时,W(2)到限制Kac模KS(λ)的0阶上同调空间是一维的;否则,W(2)到Kac模KS(λ)的0阶上同调空间都是零维的.
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| 关 键 词： | Witt型模李超代数W(2) Kac模 上同调 |
| 收稿时间： | 2022-03-22 |
Zeroth cohomology from W(2)to Kac modules |
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| DING Yazhou,WANG Shujuan.Zeroth cohomology from W(2)to Kac modules[J].Journal of Hebei University (Natural Science Edition),2022,42(6):565. |
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| Authors: | DING Yazhou WANG Shujuan |
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| Institution: | 1. School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China; (2. College of Arts and Sciences, Shanghai Maritime University, Shanghai 201306, China |
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| Abstract: | Over a field of characteristic p≥3,this paper determines the 0-th cohomology from Witt-type Modular Lie superalgebra W(2)to all restricted and non-restricted Kac modules KS(λ).We show that the 0-th cohomology spaces of W(2)with coefficients in KS(λ)is 1-dimensional if S=0, λ=(0,2),and the 0-th cohomology spaces of W(2)with coefficients in KS(λ)is 0-dimensional if S≠0 or λ≠(0,2). |
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| Keywords: | Witt-type modular Lie superalgebra Kac module cohomology |
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