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

O. V. Manturov


Abstract: 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.

UDC: 513.836+519.46

MSC: Primary 57F15, 57F20; Secondary 55F45, 55F50, 57D20

Received: 14.02.1972

 English version: Mathematics of the USSR-Sbornik, 1973, 19:1, 47–84

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