Some calculations of homotopy groups of symmetric spaces

Some calculations of homotopy groups of symmetric spaces
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by Bruno Harris

Trans. Amer. Math. Soc. 106 (1963), 174-184

DOI: https://doi.org/10.1090/S0002-9947-1963-0143216-6

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References

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Bruno Harris, On the homotopy groups of the classical groups, Ann. of Math. (2) 74 (1961), 407–413. MR 131278, DOI 10.2307/1970240
Bruno Harris, Suspensions and characteristic maps for symmetric spaces, Ann. of Math. (2) 76 (1962), 295–305. MR 149479, DOI 10.2307/1970276
Michel A. Kervaire, Some nonstable homotopy groups of Lie groups, Illinois J. Math. 4 (1960), 161–169. MR 113237

Non-parallelizability of the n-sphere for

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W. S. Massey, Obstructions to the existence of almost complex structures, Bull. Amer. Math. Soc. 67 (1961), 559–564. MR 133137, DOI 10.1090/S0002-9904-1961-10690-3
Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. MR 0039258