| 引用本文: | 布力米提·孜克力亚,杨凡,齐秀琴,马丽.计算B3型量子群的Grbner Shirshov基(J/M/D/N,J:杂志，M：书，D：论文，N：报纸).期刊名称,2017，34（2）：22-25 |
| CHEN X. Adap tive slidingmode contr ol for discrete2ti me multi2inputmulti2 out put systems[ J ]. Aut omatica, 2006, 42(6): 4272-435 |
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| 摘要: |
| 为了计算出B3型量子群的Grbner Shirshov基，先用有限维代数表示论中的Auslander Reiten理论和Hall代数方法计算出B3型量子代数根向量之间的拟交换关系式并验证这些关系式对合成运算封闭，然后给出B3型量子群的一个极小Grbner Shirshov基. |
| 关键词: 量子群 Grbner Shirshov 拟交换关系 |
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| Calculation of Grobner Shirshov Basis of Quantum Group of Type B3 |
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Ablmit Zikerya, YANG Fan, QI Xiu qin, MA Li
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| Abstract: |
| In order to calculate Grobner Shishov basis of quantum group B3, firstly Auslander Reiten theory and Hall algebraic method in finite dimension algebraic expression are used to calculate skew commutators between algebraic root vectors of quantum group of B3, and their composition operation closure of these commutators is tested, then the minimal GrobnerShirshov basis of the quantum group B3 is given. |
| Key words: quantum group Grobner Shirshov skew commutator |
