| 由结合代数构造q-李代数及低维q-李代数的分类 |
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| 引用本文： | 顾兴民,张娟娟,王宪栋.由结合代数构造q-李代数及低维q-李代数的分类[J].青岛大学学报(自然科学版),2009,22(1):15-17. |
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| 作者姓名： | 顾兴民 张娟娟 王宪栋 |
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| 作者单位： | 青岛大学,数学科学学院,青岛,266071 |
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| 摘 要： | 利用类似由结合代数构造李代数的方法来构造q-李代数,给出了要做成q-李代数须满足的条件。并且具体分析了1维,2维的q-李代数,使q-李代数进一步完善。
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| 关 键 词： | q-李代数 q-李括积 结合代数 |
Construction of q-Lie Algebra by association Algebra and the Classification of Low Dimension q-Lie Algebra |
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| GU Xing-min,ZHANG Juan-juan,WANG Xian-dong.Construction of q-Lie Algebra by association Algebra and the Classification of Low Dimension q-Lie Algebra[J].Journal of Qingdao University(Natural Science Edition),2009,22(1):15-17. |
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| Authors: | GU Xing-min ZHANG Juan-juan WANG Xian-dong |
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| Institution: | College of Mathematies;Qingdao University;Qingdao 266071;China |
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| Abstract: | Using the association algebra construction method used in lie algebra construction,q-lie algebra is constructed and the necessary condition of being a q-lie algebra is obtained.Then this paper analyzes 1 and 2 dimension q-lie algebra.So the q-lie algebra is improved. |
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| Keywords: | q-lie algebra q-bracket product association algebra |
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