Gorbatsevich / Onishchik / Vinberg Lie Groups and Lie Algebras I

Foundations of Lie Theory Lie Transformation Groups
1993
ISBN: 978-3-642-57999-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 20, 238 Seiten, eBook

Reihe: Encyclopaedia of Mathematical Sciences

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

Zielgruppe

Research

Autoren/Hrsg.

Gorbatsevich, V.V.

Onishchik, A. L.

Vinberg, E. B.

Onishchik, A.L.

Weitere Mitwirkende

Kozlowski, T.

Inhaltsverzeichnis

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.