Generators in the complex $K$-functor of compact homogeneous spaces

O. V. Manturov

Sbornik. Mathematics, Tome 19 (1973) no. 1, pp. 47-84

Résumé

In this paper it is established that for a certain class of homogeneous spaces $G/H$ generators of the ring $K^*_C(G/H)\otimes Q$ can be obtained with the help of two simple constructions, which are given in terms of the theory of representations. Some applications of the results and methods of the paper are indicated. Bibliography: 27 titles.

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