Gorbatsevich, V. V.; Onishchik, A. L. Lie groups of transformations. (Russian) Zbl 0656.22003 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 20, 103-240 (1988). A survey of the general theory of Lie groups of transformations, the theory of homogeneous spaces, the basic facts of the theory of compact Lie groups of transformations is given. Results on transitive actions of solvable and nilpotent Lie groups and on transitive actions on compact homogeneous spaces are given. Cited in 3 ReviewsCited in 19 Documents MSC: 22E25 Nilpotent and solvable Lie groups 57S15 Compact Lie groups of differentiable transformations 57S20 Noncompact Lie groups of transformations 57-02 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes Keywords:Lie groups of transformations; homogeneous spaces; transitive actions PDF BibTeX XML Cite \textit{V. V. Gorbatsevich} and \textit{A. L. Onishchik}, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 20, 103--240 (1988; Zbl 0656.22003) OpenURL