Lie Groups and Lie Algebras I: Foundations of Lie Theory Lie Transformation Groups

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V.V. Gorbatsevich A.L. Onishchik

Lie Groups and Lie Algebras I

Foundations of Lie Theory Lie Transformation Groups

V.V. Gorbatsevich, A.L. Onishchik, T. Kozlowski , A.L. Onishchik

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English

Springer-Verlag Berlin and Heidelberg GmbH & Co. K
18 December 1996

Mathematics & Sciences; Algebra; Groups & group theory; Differential & Riemannian geometry; Algebraic geometry; Topology; Algebraic topology

Series: 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"

By: V.V. Gorbatsevich, A.L. Onishchik, E.B. Vinberg
Edited by: A.L. Onishchik
Translated by: T. Kozlowski
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Edition: Softcover reprint of the original 1st ed. 1993
Volume: 20
Dimensions: Height: 235mm, Width: 155mm, Spine: 13mm
Weight: 780g
ISBN: 9783540612223
ISBN 10: 354061222X
Series: Encyclopaedia of Mathematical Sciences
Pages: 238
Publication Date: 18 December 1996
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

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.