| Cartan Invariants in the Category of Restricted Representation for gl（m｜n） |
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| 作者姓名： | Li Sun ZHENG ;Bin SHU |
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| 作者单位： | [1]CollegeofSciences,ShanghaiInstituteofTechnology,Shanghai201418,P.R.China; [2]DepartmentofMathematics,EastChinaNormalUniversity,Shanghai200062,P.R.China |
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| 基金项目： | Supported partially by National Natural Science Foundation of China（Grant Nos.11271130,11201293,111126062）; The Innovation Program of Shanghai Municipal Education Commission（Grant No.12zz038）; Shanghai Science Foundation for Excellent Young Scholars（Grant No.yyy10046） The authors would like to thank the referees for valuable comments and helpful suggestions. |
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| 摘 要： | Let k be an algebraically closed field of characteristic p 〉 2, and gl（m｜n） be the general linear Lie superalgebra over k. The Cartan invariants for the restricted supermodule category for gl（m｜n） are presented.
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| 关 键 词： | GL 卡尔 制表 代数闭域 李超代数 pgt 不变量 |
Cartan invariants in the category of restricted representation for \mathfrak{g}\mathfrak{l}\left( {\left. m \right|n} \right) |
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| Li Sun ZHENG,;Bin SHU.Cartan invariants in the category of restricted representation for \mathfrak{g}\mathfrak{l}\left( {\left. m \right|n} \right)[J].Acta Mathematica Sinica,2014,30(5):837-843. |
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| Authors: | Li Sun Zheng Bin Shu |
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| Institution: | 1. College of Sciences, Shanghai Institute of Technology, Shanghai, 201418, P. R. China
2. Department of Mathematics, East China Normal University, Shanghai, 200062, P. R. China
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| Abstract: | Let k be an algebraically closed field of characteristic p > 2, and $\mathfrak{g}\mathfrak{l}\left( {\left. m \right|n} \right)$ be the general linear Lie superalgebra over k. The Cartan invariants for the restricted supermodule category for $\mathfrak{g}\mathfrak{l}\left( {\left. m \right|n} \right)$ are presented. |
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| Keywords: | Cartan invariant （u（g） T）-mod projective module |
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