Invariants of the adjoint coaction and Yetter-Drinfeld categories

Journal of Pure and Applied Algebra

Volumn 159, Issue 2-3, 2001, Pages 149-171

  Cohen, Miriam ^a   Zhu, Shenglin ^b  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b FUDAN UNIVERSITY   (China)

Author keywords

16W30

Indexed keywords

EID: 0001867033     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(00)00063-3     Document Type: Article

References (19)

1. Blattner R.J., Cohen M., Montgomery S. Crossed products and inner actions of Hopf algebras. Trans. AMS. 298:1986;671-711.
2. Cohen M. Smash products, inner actions, and quotient rings. Pacific J. Math. 125:1986;46-65.
3. F. DeMeyer, E. Ingraham, in: A. Dold, B. Eckman (Eds.), Separable Algebras Over Commutative Rings, Lecture Notes in Mathematics, Vol. 181, Springer, Berlin, 1971.
4. Drinfeld V.G. On almost cocommutative Hopf algebras. Leningrad J. 1:1990;321-341.
5. P. Etingof, S. Gelaki, On finite-dimensional semisimple and cosemisimple Hopf algebras in positive characteristic, preprint.
6. n)′ which give rise to certain invariants of knots, links and 3-manifolds, Trans. Amer. Math. Soc., to appear.
7. Kac G.I. Certain arithmetic properties of ring groups. Funct. Anal. Appl. 6:1972;158-160.
8. Larson R.G. Characters of Hopf algebras. J. Algebra. 17:1971;352-368.
9. Larson R.G., Radford D.E. Semisimple cosemisimple Hopf algebras. Amer. J. Math. 109:1987;187-195.
10. Montgomery S. Hopf algebras and their actions on rings. CBMS Regional Conference series in Mathematics. Vol. 82:1993;AMS, Providence, RI.
11. Radford D.E. Minimal quasitriangular Hopf algebras. J. Algebra. 157:1993;285-315.
12. Radford D.E. The trace function and Hopf algebras. J. Algebra. 163:1994;583-622.
13. D.E. Radford, On Kauffman's knot invariants arising from finite-dimensional Hopf algebra, Advances in Hopf Algebras, NSF-CBMS Conferences on Hopf Algebras and their Actions on Rings, Lecture Notes in Pure and Applied Mathematics, Vol. 158, Marcel Dekker, New York, 1994.
14. Radford D.E., Towber J. Yetter-Drinfeld categories associated to an arbitrary bialgebra. J. Pure Appl. Algebra. 87:1993;259-279.
15. Y. Sommerhauser, On Kaplansky's fifth conjecture, preprint Nrgk-mp 9702 / 50.
16. Sweedler M.E. Hopf Algebras. 1969;Benjamin, New York.
17. Stenström B. Rings of quotients. Lecture Notes in Mathematics. Vol. 217:1975;Springer, New York.
18. Yetter D.N. Quantum groups and representations of monodial categories. Math. Proc. Cambridge Phil. Soc. 108:1990;261-290.
19. Zhu Y. Hopf algebras of prime dimension. Internat. Math. Res. Notes. 1:1994;53-59.