Geodesic
Generators in the complex $K$-functor of compact homogeneous spaces
Sbornik. Mathematics, Tome 19 (1973) no. 1, pp. 47-84

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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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     author = {O. V. Manturov},
     title = {Generators in the complex $K$-functor of compact homogeneous spaces},
     journal = {Sbornik. Mathematics},
     pages = {47--84},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1973_19_1_a3/}
}
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O. V. Manturov. Generators in the complex $K$-functor of compact homogeneous spaces. Sbornik. Mathematics, Tome 19 (1973) no. 1, pp. 47-84. http://geodesic.mathdoc.fr/item/SM_1973_19_1_a3/