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A Decomposition Theorem for Certain Bipolynomial Hopf Algebras

Published online by Cambridge University Press:  20 November 2018

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

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1984

References

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