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COhen-Fischman-Westreich’s double centralizer theorem for almost-triangular Hopf algebras

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Abstract

In this paper, the authors study the Cohen-Fischman-Westreich’s double centralizer theorem for triangular Hopf algebras in the setting of almost-triangular Hopf algebras.

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References

  1. Berele, A. and Regev, A., Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras, Adv. Math., 64(2), 1987, 118–175.

    Article  MathSciNet  MATH  Google Scholar 

  2. Jimbo, M., A q-analogue of U(gl(N +1)), Hecke algebra, and the Yang-Baxter equation, Lett. Math. Phys., 11, 1986, 247–252.

    Article  MathSciNet  MATH  Google Scholar 

  3. Kirillov, A. N. and Reshetikhin, N. Yu., Representations of the algebra Uq(sl(2)), q-orthogonal polynomials and invariants of links, World Sci. Publ., Teaneck, N. J., 1989.

    MATH  Google Scholar 

  4. Fischman, D., Schur’s double centralizer theorem: A Hopf algebra approach, J. Algebra, 157, 1993, 331–340.

    Article  MathSciNet  MATH  Google Scholar 

  5. Cohen, M., Fischman, D. and Westreich, S., Schur’s double centralizer theorem for triangular Hopf algebras, Pro. Amer. Math. Soc., 122(1), 1994, 19–29.

    MathSciNet  MATH  Google Scholar 

  6. Liu, G. H., and Zhu, S. L., Almost-triangular Hopf algebras, Algebr. Represent. Theory, 10, 2007, 555–564.

    Article  MathSciNet  MATH  Google Scholar 

  7. Sweedler, M. E., Hopf Algebras, Benjamin, New York, 1969.

    MATH  Google Scholar 

  8. Drinfeld, V., Quantum Groups, Proc. Internat. Congr. Math., Amer. Math. Soc., Providence, RI, 1986.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, Southeast University, Nanjing, 210096, China

    Guohua Liu

  2. College of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan, 453007, China

    Xiaofan Zhao

Authors
  1. Guohua Liu
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  2. Xiaofan Zhao
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Corresponding author

Correspondence to Guohua Liu.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 11371088) and the Natural Science Foundation of Jiangsu Province (No.BK2012736).

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Liu, G., Zhao, X. COhen-Fischman-Westreich’s double centralizer theorem for almost-triangular Hopf algebras. Chin. Ann. Math. Ser. B 37, 483–494 (2016). https://doi.org/10.1007/s11401-016-1025-x

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  • DOI: https://doi.org/10.1007/s11401-016-1025-x

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