$\textrm {mod}$ $p$ Wu formulas for the Steenrod algebra and the Dyer-Lashof algebra
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- by P. Brian Shay PDF
- Proc. Amer. Math. Soc. 63 (1977), 339-347 Request permission
Abstract:
Formulas for the polynomials ${\mathcal {P}^i}({c_j})$ and ${Q^i}({a_j})$ in ${H^\ast }(BU;{Z_p})$ and ${H_\ast }(BU;{Z_p})$, analogous to Wu’s formulas for $S{q^i}({w_j})$, are given.References
- Stanley O. Kochman, Homology of the classical groups over the Dyer-Lashof algebra, Trans. Amer. Math. Soc. 185 (1973), 83–136. MR 331386, DOI 10.1090/S0002-9947-1973-0331386-2 D. Moore, Homology operations for classifying spaces of certain groups, Thesis, Northwestern Univ., June 1974.
- Stewart Priddy, Dyer-Lashof operations for the classifying spaces of certain matrix groups, Quart. J. Math. Oxford Ser. (2) 26 (1975), no. 102, 179–193. MR 375309, DOI 10.1093/qmath/26.1.179 P. B. Shay, ${H^\ast }(BU)$ over the Steenrod and Dyer-Lashof algebras (to appear).
- Douglas C. Ravenel and W. Stephen Wilson, Bipolynomial Hopf algebras, J. Pure Appl. Algebra 4 (1974), 41–45. MR 340320, DOI 10.1016/0022-4049(74)90028-0
- N. E. Steenrod, Cohomology operations, Annals of Mathematics Studies, No. 50, Princeton University Press, Princeton, N.J., 1962. Lectures by N. E. Steenrod written and revised by D. B. A. Epstein. MR 0145525
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 339-347
- MSC: Primary 55G05; Secondary 55F45
- DOI: https://doi.org/10.1090/S0002-9939-1977-0454974-0
- MathSciNet review: 0454974