| ON THE PRIMARY DECOMPOSITION THEOREM OF MODULAR LIE SUPERALGEBRAS |
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| 引用本文： | CHEN Liangyun,MENG Daoji. ON THE PRIMARY DECOMPOSITION THEOREM OF MODULAR LIE SUPERALGEBRAS[J]. 数学年刊B辑(英文版), 2005, 26(4): 523-536 |
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| 作者姓名： | CHEN Liangyun MENG Daoji |
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| 作者单位： | CHEN LIANGYUN MENG DAOJI Department of Mathematics，Northeast Normal University，Changchun 130024，China. Department of Mathematics，Nankai University，Tianjin 300071，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No.10271076) the Youth Science Foundation of Northeast Normal University (No. 111494027). |
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| 摘 要： | This gives some identities of associative Lie superalgebras and some properties of modular Lie superalgebras. Furthermore, the primary decomposition theorem of modular Lie superalgebras is shown. It is well known that the primary decomposition theorem of modular Lie algebras has played an important role in the classification of the finite-dimensional simple modular Lie algebras (see [5, 6]). Analogously, the primary decomposition theorem of modular Lie superalgebras may play an important role in the open classification of the finite dimensional simple modular Lie superalgebras.
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| 关 键 词： | 模李超代数 菲廷分解 初始分解 有限空间 |
| 收稿时间： | 2004-07-04 |
ON THE PRIMARY DECOMPOSITION THEOREM OF MODULAR LIE SUPERALGEBRAS |
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| CHEN Liangyun and MENG Daoji. ON THE PRIMARY DECOMPOSITION THEOREM OF MODULAR LIE SUPERALGEBRAS[J]. Chinese Annals of Mathematics,Series B, 2005, 26(4): 523-536 |
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| Authors: | CHEN Liangyun and MENG Daoji |
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| Affiliation: | Department of Mathematics, Northeast Normal University, Changchun 130024, China |
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| Abstract: | This gives some identities of associative Lie superalgebras and some properties of modular Lie superalgebras. Furthermore, the primary decomposition theorem of modular Lie superalgebras is shown. It is well known that the primary decomposition theorem of modular Lie algebras has played an important role in the classification of the finite-dimensional simple modular Lie algebras (see [5, 6]). Analogously, the primary decomposition theorem of modular Lie superalgebras may play an important role in the open classification of the finite dimensional simple modular Lie superalgebras. |
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| Keywords: | Modular Lie superalgebras Fitting decomposition The primary decomposition theorem |
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