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The antipode of a finite-dimensional Hopf algebra over a field has finite order
Author(s):
David E.
Radford
Journal:
Bull. Amer. Math. Soc.
81
(1975),
1103-1105.
MSC (1970):
Primary 16A50, 16A58, 16A60;
Secondary 15A25, 15A30
MathSciNet review:
0396650
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References |
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Additional information
References:
- 1.
- R. G. Larson, Characters of Hopf algebras, J. Algebra 17 (1971), 352-368. MR 44 #287. MR 283054
- 2.
- R. G. Larson, The order of the antipode of a Hopf algebra, Proc. Amer. Math. Soc. 21 (1969), 167-170. MR 39 #1524. MR 240170
- 3.
- R. G. Larson and M. E. Sweedler, An associative orthogonal bilinear form for Hopf algebras, Amer. J. Math. 91 (1969), 75-94. MR 39 #1523. MR 240169
- 4.
- D. E. Radford, The order of the antipode of a finite-dimensional Hopf algebra is finite, Amer. J. Math, (to appear). MR 407069
- 5.
- M. E. Sweedler, Hopf algebras, Math. Lecture Note Series, Benjamin, New York, 1969. MR 40 #5705. MR 252485
- 6.
- E. J. Taft and R. L. Wilson, On antipodes in pointed Hopf algebras, J. Algebra 29 (1974), 27-32. MR 49 #2820. MR 338053
- 7.
- W. C. Waterhouse, Antipodes and grouplikes in finite Hopf algebras(to appear).
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13933-4
PII:
S 0002-9904(1975)13933-4
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