A free rank $4$ Hopf algebra with antipode of order $4$
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- by David E. Radford PDF
- Proc. Amer. Math. Soc. 30 (1971), 55-58 Request permission
Abstract:
Let k be an arbitrary commutative ring. In this paper we construct a free rank 4 Hopf algebra H over k with antipode of order 4 and also discuss its symmetry. H is not semisimple.References
- Robert G. Heyneman and Moss Eisenberg Sweedler, Affine Hopf algebras. I, J. Algebra 13 (1969), 192–241. MR 245570, DOI 10.1016/0021-8693(69)90071-4
- 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
- Moss E. Sweedler, Hopf algebras, Mathematics Lecture Note Series, W. A. Benjamin, Inc., New York, 1969. MR 0252485
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 55-58
- MSC: Primary 18.20
- DOI: https://doi.org/10.1090/S0002-9939-1971-0279161-5
- MathSciNet review: 0279161