| （1＋2）维可换左超对称代数的分类 |
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| 引用本文： | 李可峰,滕厚山.（1＋2）维可换左超对称代数的分类[J].山东师范大学学报(自然科学版),2009,24(1):26-28. |
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| 作者姓名： | 李可峰 滕厚山 |
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| 作者单位： | 济南大学理学院,250022,济南 |
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| 摘 要： | 左超对称代数是左对称代数的推广．根据左超对称代数的阶化性质，利用矩阵的Jordan标准形，通过讨论（1＋2）维可换左超对称代数的结构系数，给出了（1＋2）维可换左超对称数的同构分类．
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| 关 键 词： | Jordan标准形 可换左超对称代数 同构 |
STUDY ON THE CLASSIFICATION OF COMMUTATIVE LEFT - SUPERSYMMETRIC ALGEBRAS OF (1+2)-DIMENSIONS |
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| Li Kefeng,Teng Houshan.STUDY ON THE CLASSIFICATION OF COMMUTATIVE LEFT - SUPERSYMMETRIC ALGEBRAS OF (1+2)-DIMENSIONS[J].Journal of Shandong Normal University(Natural Science),2009,24(1):26-28. |
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| Authors: | Li Kefeng Teng Houshan |
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| Institution: | ( School of Sciences, Jinan University, 250022,Jinan, China ) |
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| Abstract: | Commutative left - supersymmetric algebras is the extension of left - supersymmetrie algebras. According to the graded algebra characteristics of left - supersymmetrie algebras, and also using Jordan canonical form, this article discusses the constructive coefficients of commutative left - supersyrmnetric algebras of （ 1 ＋ 2） - dimensions, and finally gives the classification of commutative left - supersymmetric algebras of （ 1 ＋ 2） - dimensions. |
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| Keywords: | Jordan canonical form commutative left - supersymmetric algebras isomorphism |
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