Lie Groups and Lie Algebras I, anonym.to

Lie Groups and Lie Algebras I

Date: 24 Dec 2006, 20:28

Foundations of Lie Theory. Lie Transformation Groups
(Encyclopaedia of Mathematical Sciences)

Pages: 236

The book by Gorbatsevich, Onishchik and Vinberg is the first in a series of volumes

devoted to the theory of Lie groups and Lie algebras. The first part of the book deals

with the foundations of the theory based on the classical global approach of Chevalley

followed by an exposition of the alternative approach via the universal algebra and the

Campbell-Hausdorff formula. It also contains a survey of certain generalizations of Lie

groups. The second more advanced part treats the topic of Lie transformation groups

covering e.g. properties of orbits and stabilizers, homogeneous fibre bundles, Frobenius

duality, groups ofautomorphisms of geometric structures, Lie algebras of vector fields and

theexistence of slices. The work of the last decades including the most recent research

results is covered. The book contains numerous examples and describes connections with

topology, differential geometry, analysis and applications. It will be of great interest

to graduate students and researchers in mathematics and theoretical physics.

DOWNLOAD Links:

Part 1

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