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Mathematics of the USSR-Sbornik, 1973, Volume 19, Issue 1, Pages 47–84
DOI: https://doi.org/10.1070/SM1973v019n01ABEH001735 (Mi sm2995) 		 
Generators in the complex $K$-functor of compact homogeneous spaces

O. V. Manturov
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DOI: https://doi.org/10.1070/SM1973v019n01ABEH001735
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.
Received: 14.02.1972
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1973, Volume 90(132), Number 1, Pages 48–85
Bibliographic databases:
UDC: 513.836+519.46
MSC: Primary 57F15, 57F20; Secondary 55F45, 55F50, 57D20
Language: English
Original paper language: Russian
Citation: O. V. Manturov, “Generators in the complex $K$-functor of compact homogeneous spaces”, Mat. Sb. (N.S.), 90(132):1 (1973), 48–85; Math. USSR-Sb., 19:1 (1973), 47–84
Citation in format AMSBIB
\Bibitem{Man73}
\by O.~V.~Manturov
\paper Generators in the complex $K$-functor of compact homogeneous spaces
\jour Mat. Sb. (N.S.)
\yr 1973
\vol 90(132)
\issue 1
\pages 48--85
\mathnet{http://mi.mathnet.ru/sm2995}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=339251}
\zmath{https://zbmath.org/?q=an:0249.57030}
\transl
\jour Math. USSR-Sb.
\yr 1973
\vol 19
\issue 1
\pages 47--84
\crossref{https://doi.org/10.1070/SM1973v019n01ABEH001735}
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    English version PDF:3
    References:38
     
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