| 限制李超代数的诱导模 |
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| 引用本文： | 刘文德.限制李超代数的诱导模[J].东北数学,2005,21(1):54-60. |
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| 作者姓名： | 刘文德 |
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| 作者单位： | DepartmentofMathematics,HarbinNormalUniversity,Harbin,150080／／epartmentofMathematics,NortheastNormalUniversity,Changchun,130024 |
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| 摘 要： | In this paper we first prove the PBW theorem for reduced universal enveloping algebras of restricted Lie superalgebras. Then the notion of an induced module is introduced and the dimension formula of induced modules is established. Finally, using the results above, we obtain a property of induced modules pertaining to automorphisms of Lie superalgebras and isomorphisms of modules.
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| 关 键 词： | 加法群 李超代数 限制条件 封裹代数 |
Induced Modules of Restricted Lie Superalgebras |
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| LIU Wen-de.Induced Modules of Restricted Lie Superalgebras[J].Northeastern Mathematical Journal,2005,21(1):54-60. |
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| Authors: | LIU Wen-de |
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| Abstract: | In this paper we first prove the PBW theorem for reduced universal enveloping algebras of restricted Lie superalgebras. Then the notion of an induced module is introduced and the dimension formula of induced modules is established.Finally, using the results above, we obtain a property of induced modules pertaining to automorphisms of Lie superalgebras and isomorphisms of modules. |
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| Keywords: | restricted Lie superalgebra reduced universal enveloping algebra induced module |
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