On the Drinfeld double and the Heisenberg double of a Hopf algebra
Jiang-Hua Lu
Source: Duke Math. J. Volume 74, Number 3
(1994), 763-776.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077288424
Mathematical Reviews number (MathSciNet): MR1277953
Zentralblatt MATH identifier: 0815.16020
Digital Object Identifier: doi:10.1215/S0012-7094-94-07428-0
References
[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.
Mathematical Reviews (MathSciNet): MR87k:16012
Zentralblatt MATH: 0619.16004
Digital Object Identifier: doi:10.2307/2000643
JSTOR: links.jstor.org
[BM] R. J. Blattner and S. Montgomery, A duality theorem for Hopf module algebras, J. Algebra 95 (1985), no. 1, 153–172.
Mathematical Reviews (MathSciNet): MR87h:16016
Zentralblatt MATH: 0589.16010
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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