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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A free rank $ 4$ Hopf algebra with antipode of order $ 4$


Author: David E. Radford
Journal: Proc. Amer. Math. Soc. 30 (1971), 55-58
MSC: Primary 18.20
MathSciNet review: 0279161
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0279161-5
PII: S 0002-9939(1971)0279161-5
Keywords: Hopf algebra, antipode of Hopf algebra, free algebra, order of antipode
Article copyright: © Copyright 1971 American Mathematical Society