This article is cited in 7 papers

The real cohomology of homogeneous spaces

P. K. Rashevskii


Abstract: The main object of this article is to give an account of the results of H. Cartan on the real cohomology algebra of a homogeneous space associated with a compact group. The exposition is based on the theory of Lie algebras and algebras connected with them and contains a number of incidental constructions and results of an algebraic character.

UDC: 519.4+513.83+513.015

MSC: 20J06, 22C05, 22E41, 22E60

Received: 03.02.1969

 English version: Russian Mathematical Surveys, 1969, 24:3, 23–95

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