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This article is cited in 32 scientific papers (total in 34 papers)
Decompositions of reductive Lie groups
A. L. Onishchik
Abstract:
In this work we study decompositions $G=G'G''$ of reductive Lie groups $G$ into the product of Lie subgroups $G'$ and $G''$. Such decompositions are fully described in case $G'$ and $G''$ are reductive in $G$, or $G$ is simple and $G'$ and $G''$ are maximal. The results are applied to the classification of complex homogeneous spaces.
Bibliography: 21 titles.
Received: 19.03.1969
Citation:
A. L. Onishchik, “Decompositions of reductive Lie groups”, Mat. Sb. (N.S.), 80(122):4(12) (1969), 553–599; Math. USSR-Sb., 9:4 (1969), 515–554
Linking options:
https://www.mathnet.ru/eng/sm3643https://doi.org/10.1070/SM1969v009n04ABEH001292 https://www.mathnet.ru/eng/sm/v122/i4/p553
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Abstract page: | 556 | Russian version PDF: | 313 | English version PDF: | 31 | References: | 61 |
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