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, PP. 177-181

Keywords: 量子形变代数，Hopf代数，等价表示
Quantum Deformed Algebra, Hopf Algebra, Equitable Presentation

Full-Text   Cite this paper   Add to My Lib

Abstract:

对量子群U_q(sl₂)进行推广，构造了一类量子形变代数U_q(f_n(K,K))，并对它的等价表示进行了研究。
Basing on the quantum group U_q(sl₂), we define a quantum deformed algebra U_q(f_n(K,K)) in this paper. Moreover, we construct its equitable presentation.

References

[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
[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.

Full-Text