Polynomial generators for $H_\ast (B\textrm {SU})$ and $H_\ast (B\textrm {SO};\ Z_{2})$
HTML articles powered by AMS MathViewer
- by Stanley O. Kochman PDF
- Proc. Amer. Math. Soc. 84 (1982), 149-154 Request permission
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
- J. F. Adams, Primitive elements in the $K$-theory of $B\textrm {SU}$, Quart. J. Math. Oxford Ser. (2) 27 (1976), no. 106, 253–262. MR 415615, DOI 10.1093/qmath/27.2.253 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.
- Brayton Gray, Products in the Atiyah-Hirzebruch spectral sequence and the calculation of $M\textrm {SO}_\ast$, Trans. Amer. Math. Soc. 260 (1980), no. 2, 475–483. MR 574793, DOI 10.1090/S0002-9947-1980-0574793-9
- Stanley O. Kochman, Primitive generators for algebras, Canadian J. Math. 34 (1982), no. 2, 454–463. MR 658978, DOI 10.4153/CJM-1982-030-4
Additional Information
- © Copyright 1982 American Mathematical Society
- 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