Duke Mathematical Journal

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

Jiang-Hua Lu

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Article information

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

First available in Project Euclid: 20 February 2004

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 16W30


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

Export citation


  • [BCM] R. J. Blattner, M. Cohen, and S. Montgomery, Crossed products and inner actions of Hopf algebras, Trans. Amer. Math. Soc. 298 (1986), no. 2, 671–711.
  • [BM] R. J. Blattner and S. Montgomery, A duality theorem for Hopf module algebras, J. Algebra 95 (1985), no. 1, 153–172.
  • [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.
  • [Dr2] V. G. Drinfel'd, Quasi-Hopf algebras, Leningrad Math. J. 1 (1990), no. 6, 1419–1457.
  • [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).
  • [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.