A Decomposition Theorem for Certain Bipolynomial Hopf Algebras
Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 444-447

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1984-068-4
Mots-clés : 16A24, 55R45, 57T05
Baker, Andrew. A Decomposition Theorem for Certain Bipolynomial Hopf Algebras. Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 444-447. doi: 10.4153/CMB-1984-068-4
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[1] 1. Adams, J. F., Primitive elements in the K-theory of BSU, Q. J. Math. (2), 27, (1976) 253-62. Google Scholar | DOI

[2] 2. Hoffman, P., Hopf algebras from branching rules, Can. J. Math., XXXV No. 1 (1983) 177-92. Google Scholar | DOI

[3] 3. Husemoller, D., The structure of the Hopf algebra H(BU) over a Z-algebra, Amer. J. Math., 93, (1971) 329-49. Google Scholar | DOI

[4] 4. Kochman, S. O., Polynomial generators for H(BSU) and H(BSO; Z/2), Proc. Amer. Math. Soc. 84, (1982), 148-54. Google Scholar

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