The $K$-theory of a class of homogeneous spaces
HTML articles powered by AMS MathViewer
- by Bruno Harris PDF
- Trans. Amer. Math. Soc. 131 (1968), 323-332 Request permission
References
- M. F. Atiyah, On the $K$-theory of compact Lie groups, Topology 4 (1965), 95â99. MR 178092, DOI 10.1016/0040-9383(65)90051-0 R. Bott, Lectures on $K(X)$, Harvard Univ., Cambridge, Mass., 1962.
- E. B. Dynkin, Maximal subgroups of the classical groups, Trudy Moskov. Mat. ObĹĄÄ. 1 (1952), 39â166 (Russian). MR 0049903
- Bruno Harris, Suspensions and characteristic maps for symmetric spaces, Ann. of Math. (2) 76 (1962), 295â305. MR 149479, DOI 10.2307/1970276
- N. Jacobson, Some groups of transformations defined by Jordan algebras. I, J. Reine Angew. Math. 201 (1959), 178â195. MR 106936, DOI 10.1515/crll.1959.201.178
- P. G. Kumpel Jr., On the homotopy groups of the exceptional Lie groups, Trans. Amer. Math. Soc. 120 (1965), 481â498. MR 192511, DOI 10.1090/S0002-9947-1965-0192511-5
- J. Tits, Une classe dâalgèbres de Lie en relation avec les algèbres de Jordan, Nederl. Akad. Wetensch. Proc. Ser. A 65 = Indag. Math. 24 (1962), 530â535 (French). MR 0146231, DOI 10.1016/S1385-7258(62)50051-6
- Raoul Bott, The space of loops on a Lie group, Michigan Math. J. 5 (1958), 35â61. MR 102803
- Raoul Bott, The stable homotopy of the classical groups, Ann. of Math. (2) 70 (1959), 313â337. MR 110104, DOI 10.2307/1970106
- Luke Hodgkin, On the $K$-theory of Lie groups, Topology 6 (1967), 1â36. MR 214099, DOI 10.1016/0040-9383(67)90010-9
- ShĂ´rĂ´ Araki, On the Brouwer degrees of some maps of compact symmetric spaces, Topology 3 (1965), 281â290. MR 187252, DOI 10.1016/0040-9383(65)90058-3
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 131 (1968), 323-332
- MSC: Primary 57.45
- DOI: https://doi.org/10.1090/S0002-9947-1968-0220312-0
- MathSciNet review: 0220312