On cotriangular Hopf algebras

American Journal of Mathematics

Volumn 123, Issue 4, 2001, Pages 699-713

  Etingof, Pavel ^a   Gelaki, Shlomo ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035433837     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2001.0025     Document Type: Article

References (20)

1. Y. Bahturin, D. Fischman and S. Montgomery, Bicharacters, twistings, and Scheunert's theorem for hopf algebras, J. Algebra 236 (2001), 246-276.
2. M. Cohen, S. Westreich and S. Zhu, Determinants, integrality and Noether's theorem for quantum commutative algebras, Israel J. of Math. 96 (1996), 185-222.
3. P. Deligne, Categories Tannakiennes, The Grothendick Festschrift, vol. II, Progr. Math., vol. 87, Birkhäuser, Boston, MA, 1990, pp. 111-195.
4. P. Deligne and J. Milne, Tannakian categories, Lecture Notes in Math., vol. 900, Springer-Verlag, New York, 1982, pp. 101-228.
5. Y. Doi, Braided bialgebras and quadratic bialgebras, Comm. Algebra 21 (1993), 1731-1749.
6. V. Drinfeld, Quantum groups, Proc. Internat. Congress of Math., (Berkeley, CA, 1986), vol. 1, 2, Amer. Math. Soc., Providence, RI, 1987, pp. 798-820.
7. _, Quasi-Hopf algebras, Leningrad Math. J. 1 (1990), 1419-1457.
8. Y. A. Drozd and V. V. Kirichenko, Finite-dimensional Algebras, Springer-Verlag, New York, 1994.
9. P. Etingof and S. Gelaki, Some properties of finite-dimensional semisimple Hopf algebras, Math. Res. Lett. 5 (1998), 191-197.
10. _, The classification of triangular semisimple and cosemisimple Hopf algebras over an algebraically closed field, Internat. Math. Res. Notices 5 (2000), 223-234.
11. P. Etingof and D. Kazhdan, Quantization of Lie bialgebras, I, Selecta Math. 2 (1996), 1-41.
12. _, Quantization of Lie bialgebras, II, Selecta Math. 4 (1998), 213-231.
13. P. Etingof and O. Schiffmann, Lectures on Quantum Groups, Lectures in Mathematical Physics, International Press, Boston, MA, 1998.
14. C. Kassel, Quantum Groups, Springer-Verlag, New York, 1995.
15. R. G. Larson and D. E. Radford, Semisimple cosemisimple Hopf algebras, Amer. J. Math. 110 (1988), 187-195.
16. S. Majid, Rank of quantum groups and braided groups in dual form, Lecture Notes in Math., vol. 1510, Springer-Verlag, New York, 1992, pp. 78-89.
17. _, Tannaka-Krein reconstruction for quasi-Hopf algebras, Contemp. Math. 134 (1992), 219-232.
18. _, Foundations of Quantum Group Theory, Cambridge University Press, Cambridge, 1995.
19. M. Movshev, Twisting in group algebras of finite groups, Funct. Anal. Appl. 27 (1994), 240-244.
20. D. E. Radford, The order of the antipode of a finite-dimensional Hopf algebra is finite, Amer. J. Math. 98 (1976), 333-355.