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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.


References [Enhancements On Off] (What's this?)

  • [1] J. F. Adams, Primitive elements in the $ K$-theory of BSU, Quart. J. Math. Oxford Ser. (2) 27 (1976), 253-262. MR 0415615 (54:3698)
  • [2] Séminaire Henri Cartan, 12ième année: 1959/60 Periodicité des groupes d'homotopie stables des groupes classiques, d'après Bott, Deux fasc., 2ième éd., Ecole Norm. Sup., Secrétariat Math., Paris, 1961.
  • [3] B. Gray, Products in the Atiyah-Hirzebruch spectral sequence and the calculation of MSO$ _{*}$, Trans. Amer. Math. Soc. 260 (1980), 475-483. MR 574793 (81f:55026)
  • [4] S. O. Kochman, Primitive generators for algebras, Canad. J. Math. (to appear). MR 658978 (83i:55005)

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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

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