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Proceedings of the American Mathematical Society

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Polynomial generators for $ H\sb\ast (B{\rm SU})$ and $ H\sb\ast (B{\rm SO};\ Z\sb{2})$


Author: Stanley O. Kochman
Journal: Proc. Amer. Math. Soc. 84 (1982), 149-154
MSC: Primary 55R45; Secondary 57T05
DOI: https://doi.org/10.1090/S0002-9939-1982-0633297-2
MathSciNet review: 633297
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Abstract: Specific formulas are given for choosing polynomial generators of $ {H_* }(BSU;R)$, for various $ R$, in terms of the canonical polynomial generators of $ {H_*}(BU;R)$. The analogous formulas for polynomial generators of $ {H_*}(BSO;{Z_2})$ are also given.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1982-0633297-2
Keywords: Polynomial generator, classifying space, classical group, coaction, primitive, Chern class, Stiefel-Whitney class
Article copyright: © Copyright 1982 American Mathematical Society