References
E. Cartan, Geometry of Lie Groups and Symmetric Spaces [Russian translation], Izdat. Inostr. Lit., Moscow (1949).
M. Wang and W. Ziller, “On normal homogeneous Einstein manifolds,” Ann. Sci. École Norm. Sup.,18, 563–633 (1985).
J. Wolf, “The geometry and structure of isotropy irreducible homogeneous spaces,” Acta Math.,120, 59–148 (1968).
A. Barut and R. Raczka, Theory of Group Representation and Applications [Russian translation], Mir, Moscow (1980).
E. B. Dynkin, “Semisimple subalgebras of semisimple Lie algebras,” Mat. Sb.,30, No. 2, 349–462 (1952).
E. B. Dynkin, “Maximal subgroups of classical groups,” Trudy Moskov. Mat. Obshch.,1, 39–166 (1952).
D. P. Zhelobenko and A. I. Shtern, Representations of Lie Groups [in Russian], Nauka, Moscow (1969).
J.-P. Serre, Lie Algebras and Lie Groups [Russian translation], Mir, Moscow (1969).
O. V. Manturov, “Homogeneous Riemannian manifolds with irreducible isotropy group,” in: Proceedings of a Seminar on Vector and Tensor Analysis [in Russian], Moscow Univ., Moscow, 1966,13, pp. 68–145.
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The research was supported by the International Science Foundation, the Government of the Russian Federation (Grant JF 3100) and the Grant Center at St. Petersburg State University.
Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 37, No. 1, pp. 175–192, January–February, 1996.
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Rodionov, E.D. Structure of standard homogeneous Einstein manifolds with simple isotropy group. I. Sib Math J 37, 151–167 (1996). https://doi.org/10.1007/BF02104766
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DOI: https://doi.org/10.1007/BF02104766