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Quantum Double Constructions for Compact Quantum Group

Quantum Double Constructions for Compact Quantum Group
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摘要 For a non-degenerate pair of compact quantum groups, we first construct the quantum double as an algebraic compact quantum group in an algebraic framework. Then by adopting some completion procedure, we give the universal and reduced quantum double constructions in the correspondence C＊-algebraic settings, which generalize Drinfeld＇s quantum double construction and yield new C＊-algebraic compact quantum groups. For a non-degenerate pair of compact quantum groups, we first construct the quantum double as an algebraic compact quantum group in an algebraic framework. Then by adopting some completion procedure, we give the universal and reduced quantum double constructions in the correspondence C＊-algebraic settings, which generalize Drinfeld＇s quantum double construction and yield new C＊-algebraic compact quantum groups.
作者 Ming LIU Xia ZHANG
机构地区 School of Science
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第12期2273-2282,共10页 数学学报（英文版）
基金 supported by the scientific research fund for young teachers of Tianjin Polytechnic University(Grant No.029960) supported by National Natural Science Foundation of China(Grant No.11171015)
关键词 Compact quantum group PAIRING quantum double Haar state Compact quantum group, pairing, quantum double, Haar state
分类号 O152.5 [理学—基础数学] F426.9 [经济管理—产业经济]
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参考文献14

  • 1Abe, E.: Hopf Algebras, Cambridge University Press, Cambridge, 1977.
  • 2Baaj, S., Vaes, S.: Double crossed products of locally compact quantum groups. Y. Inst. Math. Jussieu, 4, 135 173 (2005).
  • 3Daele, A. V.: The Haar measure on compact quantum groups. Proe. Amer. Math. Soc., 123, 3125-3128 (1995).
  • 4Drabant, B., Daele, A. V.: Pairing and quantum double of multiplier Hopf algebras. Algebr. Represet. Theory, 4(2), 109 132 (2001).
  • 5Drinfeld, V. G.: Quantum Groups, International Congress of Mathematicians, Berkeley, 1986.
  • 6Guo, M. Z., Jiang, L. N., Zhao, Y. W.: A pairing theorem between a braided bialgebra and its dual bialgebra. J. Algebra, 245(2), 532 551 (2001).
  • 7Jiang, L. N.: C*-structure of quantum double of finite Hopf C*-algebras. J. Beijing Inst. Technol., 14(3), 328 335 (2005).
  • 8Jiang, L. N., Guo, M. Z., Qian, M.: The duality theory of a finite dimensional discrete quantum group. Proc. Amer. Math. Soc., 132(12), 3537 3547 (2004).
  • 9Li, B. R.: Operator Algebra (in Chinese), Science Press, Beijing, 1992.
  • 10Liu, M., Jiang, L. N., Zhang, G. S.: Paring and quantum double of finite Hopf C*-algebras. Aeta Math. Sin., Engl. Series, 23(6), 1121-1128 (2007).
Acta Mathematica Sinica,English Series
2013年 第12期

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