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A Decomposition Theorem for Certain Bipolynomial Hopf Algebras

Published online by Cambridge University Press:  20 November 2018

Andrew Baker
Andrew Baker*
Affiliation:
University of Chicago, Chicago Illinois, 60637
*
Current Address: Department of Mathematics, Manchester University, Manchester Ml3 9pl, England.
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Abstract

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In this note we generalise a result of D. Husemoller to certain bipolynomial Hopf algebras and are able to give Hopf algebra decompositions for these. As an easy consequence of our approach we give a simplified derivation of recent results of P. Hoffman on polynomial generators for these algebras; we also give explicit systems of “Borel generators” for a related family of quotient Hopf algebras considered by Hoffman.

Keywords

16A2455R4557T05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 4 , 01 December 1984 , pp. 444 - 447
Copyright
Copyright © Canadian Mathematical Society 1984

References

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3. Husemoller, D., The structure of the Hopf algebra H*(BU) over a Z(p)-algebra, Amer. J. Math., 93, (1971) 329-49.CrossRefGoogle Scholar
4. Kochman, S. O., Polynomial generators for H*(BSU) and H*(BSO; Z/2), Proc. Amer. Math. Soc. 84, (1982), 148-54.Google Scholar