Lie Groups and Lie Algebras I

From the reviews:
" . . . , the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source, . . . On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book? "
The New Zealand Mathematical Society Newsletter
" . . . Both parts are very nicely written and can be strongly recommended. "
European Mathematical Society

I. Foundations of Lie Theory. - 1. Basic Notions. - 2. The Relation Between Lie Groups and Lie Algebras. - 3. The Universal Enveloping Algebra. - 4. Generalizations of Lie Groups. - II. Lie Transformation Groups. - 1. Lie Group Actions on Manifolds. - 2. Transitive Actions. - 3. Actions of Compact Lie Groups. - 4. Homogeneous Spaces of Nilpotent and Solvable Groups. - 5. Compact Homogeneous Spaces. - 6. Actions of Lie Groups on Low-dimensional Manifolds.