一类量子形变代数的等价表示
On the Equitable Presentation for a Quantum Deformed Algebra
DOI: 10.12677/PM.2016.63027, PDF,    科研立项经费支持
作者: 陈佳琦, 叶丽霞*：浙江外国语学院数学系，浙江 杭州
关键词: 量子形变代数；Hopf代数；等价表示；Quantum Deformed Algebra； Hopf Algebra； Equitable Presentation
摘要: 对量子群Uq(sl2)进行推广，构造了一类量子形变代数Uq(fn(K,K))，并对它的等价表示进行了研究。
Abstract: Basing on the quantum group Uq(sl2), we define a quantum deformed algebra Uq(fn(K,K)) in this paper. Moreover, we construct its equitable presentation.
文章引用：陈佳琦, 叶丽霞. 一类量子形变代数的等价表示[J]. 理论数学, 2016, 6(3): 177-181. https://dx.doi.org/10.12677/PM.2016.63027

参考文献

[1] Ito, T., Terwilliger, P. and Weng, C.-W. (2006) The Quantum Algebra and Its Equitable Presentation. Journal of Algebra, 298, 284-301. http://dx.doi.org/10.1016/j.jalgebra.2005.07.038 [Google Scholar] [CrossRef] 
[2] Smith, S.P. (1990) A Class of Algebras Similar to the Enveloping Algebra of sl(2). Transactions on AMS, 322, 285- 314.
[3] Ji, Q.Z. and Wang, D.G. (2000) Finite-Dimensional Representations of Quantum Groups . East-West Math., 2, 201-213.
[4] Wang, D.G. and Ji, Q.Z. (2002) Finite-Dimensional Representations of Quantum Group . Communications in Alge-bra, 30, 2191-2211.
[5] 潘艳. 量子群 的等价实现[D]: [硕士学位论文]. 扬州: 扬州大学, 2008.
[6] 叶丽霞, 吴志祥. 弱量子代数 的弱Hopf代数结构[J]. 高校应用数学学报, 2007, 22(3): 363-370.

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