Lie groups of transformations. (Russian) Zbl 0656.22003

Gorbatsevich, V. V.; Onishchik, A. L.

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.

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