| 利用Uq(sp(8))的向量表示实现辛型量子群(O)(Spq(8)) |
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| 引用本文： | 巩本学,李莎莎.利用Uq(sp(8))的向量表示实现辛型量子群(O)(Spq(8))[J].华东师范大学学报(自然科学版),2011,2011(3):85-89. |
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| 作者姓名： | 巩本学 李莎莎 |
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| 作者单位： | 山东理工大学理学院,山东淄博,255049 |
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| 摘 要： | Jantzen1]利用A型李代数A2的量子包络代数Uq(sl2(C)),借助于其表示论并利用R-矩阵的方法给出了SLq(2)的定义关系式.本文对结构更为复杂的C型李代数做了类似的研究,通过Uq(sp(8))的表示理论实现了(O)(Spq(8))的定义关系式.
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| 关 键 词： | 辛型量子群 实现 向量表示 |
| 收稿时间： | 2010-4-1 |
| 修稿时间： | 2010-7-1 |
Realization of quantum symplectic group (O)(Spq(8)) via vector representation of Uq(sp (8)) |
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| GONG Ben-xue,LI Shaosha.Realization of quantum symplectic group (O)(Spq(8)) via vector representation of Uq(sp (8))[J].Journal of East China Normal University(Natural Science),2011,2011(3):85-89. |
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| Authors: | GONG Ben-xue LI Shaosha |
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| Institution: | College of Science, Shandong University of Technology, Zibo, Shandong 255049, China |
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| Abstract: | To the quantum enveloping algebra Uq(sl2(C)) of type A Lie algebra A2, Jantzen gave the defining relations of SLq(2) arising from the representations of Uq(sl2(C)) by the R-matrix. This paper studied the similar question to Uq(sp(8)) of type C Lie algebra sp(8) which is more difficult than type A, and gave the realization of O(Spq(8)) arising from the representations of Uq(sp(8)) via Jantzen's approach. |
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| Keywords: | quantum symplectic group realization vector representation |
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