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Forms of certain Hopf algebras. (English) Zbl 0324.16010


MSC:

16W30 Hopf algebras (associative rings and algebras) (MSC2000)
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References:

[1] Jacobson, N.: Lie algebras. New York: John Wiley and Sons 1962. · Zbl 0121.27504
[2] Radford, D. E.: A free rank 4 Hopf algebra with antipode of order 4. Proc. Amer. math. Soc.30, 55-58 (1971). · Zbl 0202.01706
[3] -: The order of the antipode of a finite dimensional Hopf algebra is finite. Amer. J. Math., to appear. · Zbl 0332.16007
[4] -: Operators on Hopf algebras. Amer. J. Math., to appear. · Zbl 0369.16011
[5] Seligman, G. B.: On two-dimensional algebraic groups. Scripta math.29, 453-465 (1973). · Zbl 0263.17004
[6] Sweedler, M. E.: Hopf algebras. New York: Benjamin 1969. · Zbl 0194.32901
[7] Taft, E. J.: The order of the antipode of finitedimensional Hopf algebra. Proc. nat. Acad. Sci. USA68, 2631-2633 (1971). · Zbl 0222.16012 · doi:10.1073/pnas.68.11.2631
[8] Taft, E. J., Wilson, R. L.: Hopf algebras with nonsemisimple antipode. Proc. Amer. math. Soc.49, 269-276 (1975). · Zbl 0305.16008 · doi:10.1090/S0002-9939-1975-0376742-9
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