Duke Mathematical Journal

On the Drinfeld double and the Heisenberg double of a Hopf algebra

Jiang-Hua Lu

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Article information

Source
Duke Math. J., Volume 74, Number 3 (1994), 763-776.

Dates
First available in Project Euclid: 20 February 2004

Permanent link to this document
https://projecteuclid.org/euclid.dmj/1077288424

Digital Object Identifier
doi:10.1215/S0012-7094-94-07428-0

Mathematical Reviews number (MathSciNet)
MR1277953

Zentralblatt MATH identifier
0815.16020

Subjects
Primary: 16W30

Citation

Lu, Jiang-Hua. On the Drinfeld double and the Heisenberg double of a Hopf algebra. Duke Math. J. 74 (1994), no. 3, 763--776. doi:10.1215/S0012-7094-94-07428-0. https://projecteuclid.org/euclid.dmj/1077288424


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References

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    JSTOR: links.jstor.org
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    Digital Object Identifier: doi:10.1016/0021-8693(85)90099-7
  • [Dr1] V. G. Drinfel'd, Quantum groups, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), Amer. Math. Soc., Providence, RI, 1987, pp. 798–820.
    Mathematical Reviews (MathSciNet): MR89f:17017
    Zentralblatt MATH: 0667.16003
  • [Dr2] V. G. Drinfel'd, Quasi-Hopf algebras, Leningrad Math. J. 1 (1990), no. 6, 1419–1457.
    Mathematical Reviews (MathSciNet): MR1047964
  • [Lu] J. H. Lu, Twisting Hopf algebras by $2$-cocycles, preprint.
  • [RS] N. Y. Reshetikhin and M. A. Semenov-Tian-Shansky, Quantum $R$-matrices and factorization problems, J. Geom. Phys. 5 (1988), no. 4, 533–550 (1989).
    Mathematical Reviews (MathSciNet): MR92g:17019
    Zentralblatt MATH: 0711.17008
    Digital Object Identifier: doi:10.1016/0393-0440(88)90018-6
  • [STS] M. A. Semenov-Tian-Shansky, Poisson Lie groups, quantum duality principle and twisted quantum doubles, preprint, in Russian, 1992.
  • [Sw] M. E. Sweedler, Hopf algebras, Mathematics Lecture Note Series, W. A. Benjamin, Inc., New York, 1969.
    Mathematical Reviews (MathSciNet): MR40:5705
    Zentralblatt MATH: 0194.32901

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