The antipode of a finite-dimensional Hopf algebra over a field has finite order
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- by David E. Radford PDF
- Bull. Amer. Math. Soc. 81 (1975), 1103-1105
References
- Richard Gustavus Larson, Characters of Hopf algebras, J. Algebra 17 (1971), 352–368. MR 283054, DOI 10.1016/0021-8693(71)90018-4
- Richard Gustavus Larson, The order of the antipode of a Hopf algebra, Proc. Amer. Math. Soc. 21 (1969), 167–170. MR 240170, DOI 10.1090/S0002-9939-1969-0240170-4
- Richard Gustavus Larson and Moss Eisenberg Sweedler, An associative orthogonal bilinear form for Hopf algebras, Amer. J. Math. 91 (1969), 75–94. MR 240169, DOI 10.2307/2373270
- David E. Radford, The order of the antipode of a finite dimensional Hopf algebra is finite, Amer. J. Math. 98 (1976), no. 2, 333–355. MR 407069, DOI 10.2307/2373888
- Moss E. Sweedler, Hopf algebras, Mathematics Lecture Note Series, W. A. Benjamin, Inc., New York, 1969. MR 0252485
- Earl J. Taft and Robert Lee Wilson, On antipodes in pointed Hopf algebras, J. Algebra 29 (1974), 27–32. MR 338053, DOI 10.1016/0021-8693(74)90107-0 7. W. C. Waterhouse, Antipodes and grouplikes in finite Hopf algebras(to appear).
Additional Information
- Journal: Bull. Amer. Math. Soc. 81 (1975), 1103-1105
- MSC (1970): Primary 16A50, 16A58, 16A60; Secondary 15A25, 15A30
- DOI: https://doi.org/10.1090/S0002-9904-1975-13933-4
- MathSciNet review: 0396650