| 模李超代数W(m,n,t)的结构和性质 |
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| 引用本文： | 徐诚慷,魏琦瑛,张树林. 模李超代数W(m,n,t)的结构和性质[J]. 徐州师范大学学报(自然科学版), 2011, 29(1): 18-20 |
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| 作者姓名： | 徐诚慷 魏琦瑛 张树林 |
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| 作者单位： | 中国矿业大学理学院,江苏,徐州,221116 |
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| 基金项目： | 中国矿业大学理科专项基金资助项目(JGK101660) |
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| 摘 要： | 讨论了素域F(charF>2)上的Cartan型模李超代数W(m,n,t)作为W(m,t)的模的结构及其子模的一些性质.通过对W(m,n,t)的分解得到其W(m,t)子模的直和分解.这些子模中一些是同构W(m,t)的不可约模,其他的是相互之间同构的不可分解模.最后依据W(m,t)对其环面子代数的根空间分解,计算了W(m,n,t)的特征标公式.
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| 关 键 词： | 模李超代数 模李代数 Cartan型 特征标公式 |
The constructions and properties of modular Lie superalgebra W(m, n, t-) |
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| Xu Chengkang,Wei Qiying,Zhang Shulin. The constructions and properties of modular Lie superalgebra W(m, n, t-)[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2011, 29(1): 18-20 |
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| Authors: | Xu Chengkang Wei Qiying Zhang Shulin |
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| Affiliation: | Xu Chengkang,Wei Qiying,Zhang Shulin(School of Science,China University of Mining & Technology,Xuzhou 221116,Jiangsu,China) |
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| Abstract: | In this article,we consider the constructions of the modular Lie superalgebra W(m,n,t) over a prime field F as a module of one of its subalgebras W(m,t) and some properties of its submodules by means of the adjoint action of W(m,t) on W(m,n,t).W(m,n,t) is a direct sum of its W(m,t)-submodules,of which some are irreducible modules that are all isomorphic to W(m,t),while the others are indecomposable modules between any two of which there is a unique isomorphism.In the last section,the character formula of W(... |
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| Keywords: | modular Lie superalgebra modular Lie algebra Cartan form character formula |
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