Decompositions of reductive Lie groups

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.