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ω-Smash余积Hopf代数上的拟三角结构 被引量：1

Quasitriangular structures for ω-Smash coproduct Hopf algebras
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摘要 讨论了ω-Smash余积Hopf代数上的拟三角结构,并给出了ω-Smash余积Hopf代数是拟三角Hopf代数的充要条件. The quasitriangular structures over ω-Smash coproduct Hopf algebras are studied.It is showed that the necessary and sufficient condition for quasitriangular Hopf algebra is ω-Smash coproduct Hopf algebras.
作者 郑乃峰
机构地区 宁波大学理学院
出处 《浙江大学学报（理学版）》 CAS CSCD 北大核心 2010年第6期611-614,共4页 Journal of Zhejiang University（Science Edition）
基金 国家自然科学基金资助项目(60873267) 浙江省教育厅科研资助项目(Y200906783)
关键词 HOPF代数 ω-Smash余积Hopf代数 拟三角结构 Hopf algebra ω-Smash coproduct Hopf algebras quasitriangular structure
分类号 O153.3 [理学—基础数学]
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参考文献11

  • 1Nai Feng ZHENG.(f,ω)-Compatible Pair (B,H) for ω-Smash Coproduct Hopf Algebras[J].Journal of Mathematical Research and Exposition,2010,30(2):249-256. 被引量：2
  • 2郑乃峰.弱Hopf代数上的Smash双积(英文)[J].数学进展,2009,38(5):553-565. 被引量：10
  • 3王栓宏.Quasitriangularity of the twisted smash coproduct Hopf algebras[J].Progress in Natural Science:Materials International,1999,9(12):15-23. 被引量：3
  • 4Zhengming Jiao.The quasitriangular structures for a class ofT-smash product Hopf algebras[J]. Israel Journal of Mathematics . 2005 (1)
  • 5S. Caenepeel,Bogdan Ion,G. Militaru,Shenglin Zhu.The Factorization Problem and the Smash Biproduct of Algebras and Coalgebras[J]. Algebras and Representation Theory . 2000 (1)
  • 6Molnar R K.Semi -direct products of Hopf algebras. Journal of Algebra . 1977
  • 7Drinfeld V G.Quantum Groups. Proceedings of the International Congress of Mathematicians . 1987
  • 8Sweedler ME.Hopf Algebras. . 1969
  • 9Wang S H,Li J Q.On twisted smash products for bimodule algebras and the Drinfeld double. Communications in Algebra . 1998
  • 10Doi Y,Takeuchi M.Multiplication Alteration by Two-Cocycles (the Quantum Version). Communications in Algebra . 1994

二级参考文献25

  • 1Bohm, G., Nill, F., Szlemhanyi, K., Weak Hopf algebras I: Integral theory and C^*-structure, J. Algebra, 1999, 221: 385-438.
  • 2Bohm, G., Szlachanyi, K., Weak Hopf algebras II: Representation theory, dimensions and the Markov trace, J. Algebra, 2000, 233: 156-212.
  • 3Kadison, L., Nikshych, D. Frobenius extensions and weak Hopf algebras, J. Algebra, 2001, 244: 312-342.
  • 4Etingof, P., Nikshych, D., Dynamical quantum groups at roots of 1, Duke Math. J., 2001, 108: 135-168.
  • 5Hou B., Wang Z.X. Actions of weak Hopf algebras and smash products, Acta Math. Sinica, 2007, 50A(1): 89-96(in Chinese).
  • 6Zheng N.F., Weak Hopf algebras and biproduct, J. NingBo University, 2004, 17(1): 74-78(in Chinese).
  • 7Duan S.G., Zhang L.J., Li X.L., The twisted weak smash product over Hopf algebras, J. Hebei Normal University, 2006, 30(1): 1-4(in Chinese).
  • 8Caenepeel, S., Ion, B., Militaru, G., Zhu S., The factorization problem and the smash biproduct of algebras and coalgebras, Algebr. Represent. Theory, 2000, 3: 19-42.
  • 9Molnar, R.K., Semi-direct products of Hopf algebras, J. Algebra, 1977, 47: 29-51.
  • 10Wang S.H., Li J.Q., On twisted smash products for bimodule algebras and the Drinfeld double, Comm. algebra, 1998, 26(8): 2435-2444.

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浙江大学学报（理学版）
2010年 第6期

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